Algebra Word Problems

Plane Geometric Figure Problem 3

2011-12-04T07:59:00.000-08:00

This is a Algebra plane geometric figure problem as asked by an anonymous visitor which read, "catrina and tom want to buy a rug for a room that s 14 by 15 feet. They want to leave an even strip of flooring uncovered around the edges of the room. How wide a strip if they buy a rug with an area of 110 square feet?"

Plane Geometric Figure Problem 3 Solution Here!

Number Problem 14

2011-12-03T15:40:00.000-08:00

This is an Algebra number word problem which was asked by an anonymous visitor that read, "55 bowls of the same size capacity of food.
1. everyone gets their own bowl of soup
2. every two gets one bowl of spaghetti to share
3. every three will get one bowl of salad
4. all r required to have their own helping of salad, spaghetti, and soup."

Number Problem 14 Solution Here!

Finance Problem 4

2011-12-03T10:38:00.001-08:00

In this Algebra finance word problem a anonymous user asked, "An administrative assistant orders cellular phones for people in her department. The brand A phones cost $89.95 and the brand b phones $34.95.If she orded 3 times as many brand b phones as brand a phones at a total cost of $584.40, how many of each did she order?"

Finance Problem 4 Solution Here

Finance Problem 3

2011-12-03T10:34:00.000-08:00

This is a Algebra finance word problem asked by an anonymous user which read, "Alex has made 42 of the 48 payments he owes on his car but is having trouble continuing to make the payment in full. He has made an arrangement with the bank to pay 2/3rds of his monthly payment, rather than the entire payment, every month. How many months will it take Alex to pay off his car loan with this new payment arrangement?"

Finance Problem 3 Solution Here

Algebra Help

2011-10-25T10:35:00.000-07:00

If you have a general Algebra question I just put up a new blog site which is a work in progress where you can ask general Algebra questions or review. Fractions, percentages, equation manipulation, binomial formula, completing the square, etc. You can check out the Algebra Help 101 blog site here.

Number Problem 13

2011-10-21T17:14:00.001-07:00

This is a algebra number problem asked by an anonymous poster which read, "A maths test contains 10 questions. Ten points are given for each correct answer and three points deducted for an incorrect answer. If Ralph scored 61, how many did he get correct?"

Number Problem 13 Answer Here!

Age Problem 8

2011-10-15T19:12:00.000-07:00

This is a age algebra word problem that was asked by Joshua that read: "A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age of the wife was six-sevenths that of her husband's age. Find the age of each."

Age Problem 8 Answer Here!

Number Problem 12

2011-10-09T17:27:00.000-07:00

This is a number algebra word problem that was asked by Zakeus who said , "The numerator and denominator of a fraction are together equal to 100. Increase the numerator by 18 and decrease the denominator by 16 and the fraction is doubled. What is the fraction?"

Number Problem 12 Solution Here!

Time and Distance Problem 13

2011-10-09T09:51:00.000-07:00

This is a algebra time and distance word problem asked by a anonymous user: "Two trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that speed. After 3 hours , the trains were 400 miles apart. How fast was each train traveling?"

Time and Distance Problem 13 Solution Here!

Age Problem 7

2011-10-09T09:35:00.000-07:00

This is a algebra age word problem as asked by a anonymous user: "Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is Nona now? "

Age Problem 7 Solution Here!

Mixture Problem 7

2011-10-09T09:07:00.000-07:00

This is a new algebra mixture problem as asked by Califax who asked, "A 50-lb solution of acid and water is 20% (by weight). How much pure acid must be added to this solution to make it 30% acid?"

Mixture Problem 7 Answer Here!

Number Problem 11

2011-10-07T10:06:00.000-07:00

This is a new problem as asked by a anonymous visitor which read: "a number added to five times its reciprocal is -6. find the number "

Number Problem 11 Solution Here

Age Problem 6

2010-12-14T11:51:00.000-08:00

This is a Algebra age word problem question that was asked by a anonymous guest which asked, "Bob is one third the age of his father. In 12 years he will be half the age of his father. How old is each now?"

Age Problem 6 Solution Here

Work Problem 6

2010-11-25T14:13:00.001-08:00

This is a algebra work word problem which was asked in the Ask A Question section that asked: "A mother can rake a yard in 90 minutes and her daughter can do it in 60 minutes.If the mother rakes for 15 minutes before her daughter joins her,how long will it take them to finish the work? "

Work Problem 6 Solution Here

Plane Geometric Figure Problem 2

2010-11-25T13:55:00.001-08:00

This is algebra plane geometric figure problem that was asked in the Ask A Question section which read: "The length of the second side of a triangle is four less than three times the length of the first side. The length of the third side is one more than the length of the first side. If the perimeter of the triangle is 37 feet, what is the length of the first side?"

Plane Geometric Figure Problem 2 Solution Here

Finance Problem 2

2010-11-25T13:33:00.000-08:00

This is a finance algebra word problem which was posted in the Ask A Question section which read: "A local furniture store is selling all $850 mattresses at 35% off. Alyssa is buying a mattress and has a coupon for an additional 10% off the sale price. What will Alyssa pay for her mattress? "

Finance Problem 2 SOLUTION HERE

Coin Problem 6

2010-11-25T13:30:00.000-08:00

This is a algebra coin problem that was posted in the Ask A Question section which read: "a stack of pennies and dimes has a total value of $2.31. how many dimes are in the stack if there are twice as many dimes as pennies?"

Coin Problem 6 SOLUTION HERE

Number Problem 10

2010-11-25T12:52:00.000-08:00

This is a algebra number word problem asked in the "Ask A Question" section which read: "Find 3 consecutive even integers such that 4 times the first is decreased by the second is 12 more than twice the third. "

Number Problem 10 ANSWER

Age Problem 5

2010-10-08T16:08:00.000-07:00

This is a new age algebra word problem that was asked by a anonymous visitor which read, "Pol is 10 years younger than Greg. In 7 years, he will be 10 years more than one half as old as Greg. Find their age at present. Help me solve it."

Answer Age Problem 5

Work Problem 5

2010-08-17T13:10:00.000-07:00

The following was a question a anonymous visitor asked: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

Work problem 5 solution here

Time and Distance Problem 12

2010-03-30T16:34:00.000-07:00

This is a algebra time and distance problem asked by an anonymous user in the ask a question section which stated,

"A boat travels 10 km upstream and 10 km back. The time for the round trip is 10 hrs. The speed of the stream is 4 km/hr. What is the speed of the boat in still water? Can someone help? I need it as a decimal."

Answer Coming Soon!

Number Problem 9

2010-03-30T16:13:00.001-07:00

This is a algebra number word problem which was asked by a anonymous person in the ask question section which read, "One number is 5 more than another.their sum is 53.what are the two numbers?"

Number Problem 9 Solution Here!

Number Problem 8

2010-03-05T12:07:00.000-08:00

This is a new Algebra number word problem submitted by George in the "Ask A Question" section . The problem read:

"The ratio of 16 more than a number to 12 less than that number is 1 to 3. What is the number?"

Number Problem 8 Solution Here!

Finance Problem 1

2010-01-23T19:07:00.000-08:00

An anonymous poster recently asked the following algebra finance word problem:

"An employee's new salary is $19,110 after getting a 5% raise. What was the salary before the increase in pay?"

Finance Problem 1 Solution Here

Math Word Problems Demystified

2010-01-20T20:03:00.000-08:00

This is my review for a highly recommended book for learning how to solve math word problems including those that deal with Algebra.

The book breaks down all the popular word problem types starting out with word problems using whole numbers then moving on to cover those using decimals, fractions, percents, and finally onto Algebra related word problems.

With Algebra Math Word Problems Demystified covers the popular Algebra word problem types including: number, digit, coin, age, distance, mixture, finance, lever, and work problems. You will definitely know what your doing after covering these topics.

The book also touches word problems using system of equations and quadratic equations. Each chapter carries a test of your progress with answers to check your work along with a final exam over the entire book. 5 Stars. Definitely recommended.

For a direct link to get this word problem book off amazon click on the picture of the book, or go here to get Math Word Problems Demystified. Using this book in combination with this site will make you a master at these types of Algebra word problems. Guaranteed!

Time and Distance Problem 11

2010-01-10T16:27:00.001-08:00

This is another algebra time and distance word problem which was asked by another anonymous user on the "Algebra Word Problem Questions" post. The question read:

"Alexis left Miami and drove at a speed of 20 kph. Thomas left 3 hours later, from the same point, and drove at a speed of 30 kph. How long will it take Thomas to catch up to Alexis?"

Time and distance problem 11 solution here

Fun Brain Games

2009-11-16T12:38:00.000-08:00

If you are looking to stimulate your brain, but do so in a more upbeat and fun manner, there is a new site called BrainGamesFun.com that has all different types of brain training games you should check out including logic, math, word, spacial/observation, find the difference, and trivia games and much more! Go here to check it out. Have fun!

Work Problem 4

2009-11-14T15:52:00.000-08:00

The following is a algebra work word problem submitted by a anonymous guest: "Joe and Jim paint a house. Joe can paint it alone in 5 days, Jim in 8 days. They start to paint it together but after 2 days Jim stops. How long will Joe finish it alone?"

Answer here! **Updated**

Number Problem 7

2009-10-07T08:52:00.001-07:00

In this Algebra number word problem, a person asked via the "ask a question" post :

If the Numerator and Denominator of a certain fraction are both increased by 3, the resulting fraction equals 2/3. If the Numerator and Denominator are both decreased by 2, the resulting fraction equals 1/2. Determine the fraction.

Number problem 7 solution

Mixture Problem # 6

2009-09-12T20:16:00.001-07:00

In this Algebra word problem number 6 (technically a mixture problem although it involves money it uses the same strategy as a mixture problem to solve), a anonymous user asked..

"If a merchant has two types of tea, one worth $2.70 per kilogram and the other worth $3.00 per kilogram, how many kilograms of each type should the merchant use in order to produce 30 kilograms of a blend that is worth $2.95 per kilogram?"

Mixture Problem 6 Solution here

Time and Distance Problem 10

2009-09-12T19:38:00.001-07:00

In this algebra time and distance word problem a anonymous commenter asked the following under the ask your own question post ....

"Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream then what is the speed of the current?"

Time and Distance Problem 10 Solution

Time and Distance Problem 9

2009-08-25T19:07:00.000-07:00

This is a new time and distance algebra word problem submitted by a anonymous guest on the Algebra Word Problem Questions Post.

"if I walked 9 laps around a track. One lap is 1312 ft. I walked at a rate of 4 miles an hour. how many minutes did it take me to walk 9 laps"

Answer here

Algebra Word Problem Questions

2009-08-03T07:56:00.000-07:00

Ask a algebra word problem question here. Time and distance problems, coin, lever, plane geometric figure, age, mixture, finance, work, etc word problems are welcome and I will present the problem and answer as a post on this blog. Other visitors can also try to solve the problem as well before I do. Enjoy!

Plane Geometric Figure Problem 1

2009-08-02T10:22:00.000-07:00

In this plane geometric figure algebra word problem we have to "find the dimension of a rectangle whose length is 9 less than twice its width if the perimeter is 120 cm." which was submitted by a visitor on the Algebra Word Problem Help post.

Plane Geometric Figure Problem 1 Solution here

Age Problem 4

2009-08-02T08:07:00.001-07:00

In this algebra age word problem we have "A man is 27 years older than his son and 10 years from now, he will be twice as old as his son. how old is each now?" This was a question asked by a visitor on the "Algebra Word Problem Help" post.

Age Problem 4 Solution

Algebra Word Problem Help

2009-04-26T18:05:00.000-07:00

If you have a algebra word problem that you would like help on, whether it's a time and distance, work, lever, coin, number, or mixture problem, this is where you can post a comment of your word problem and I will attempt to help you out and/or others who find this blog and question can help you out!

Number Problem 6

2009-03-13T20:19:00.000-07:00

In the following Algebra number word problem we have a 3 digit number which has a 100's digit 3 more than the 1's digit and its 10's digit is twice the 100's digit. When all 3 digits are added together, it is equal to 9. What is the number?

Number Problem 6 Solution Here

Time and Distance Problem 8

2009-02-05T15:06:00.000-08:00

In this Algebra time and distance problem we have Bill leaving in a vehicle which proportionally increases or decreases its speed depending on how fast the wind is traveling. If the wind is 15 mi/hr coming and going the same distance and it takes him 4 hours going with wind behind him and 5 hours coming back with the wind coming head on, how fast was he coming and going?

Time and Distance Problem 8 Solution

Tme and Distance Problem 7

2009-02-05T15:03:00.000-08:00

In this Algebra time and distance problem we have Bill who leaves going an average speed of 60 mi/hr and Craig who leaves 2 hours after Bill taking the same path at 90 mi/hr. How long will Craig take to catch up to Bill and how far would he have traveled in that time?

Time and Distance Problem 7 Solution

Work Problem 3

2009-02-02T13:52:00.000-08:00

In this Algebra work word problem, we have pump A that can fill a pool in 12 hours and pump B which can fill the same pool in 6 hours. However, there is also a leak in the pool, and a full pool will empty out in 24 hours. How long would it take to fill the pool if pumps A and B work together and the leak was still present?

Solution to Work Problem 3

Work Problem 2

2009-02-01T17:55:00.000-08:00

In this Algebra work word problem we have pump A that can fill the pool in 10 hours and we have pump B that can fill the pool in 8 hours. If both pumps A and B were used at the same time how long could would it take to fill the same pool?

Work Problem 2 Solution ** don't cheat try it yourself 1st

Lever Problem 4

2008-10-09T18:29:00.000-07:00

In this Algebra Lever Word Problem, Samuel who weighs 65 lbs sits 4 feet away from the fulcrum of a teeter totter, while his friend Steve, who weights 85 lbs, sits twice as far away on the same side of the teeter totter, How far would Big Billy who weights 200 lbs have to sit on the opposite side of the teeter totter in order for teeter totter to balance?

Lever Problem 4 Solution

Work Problem 1

2008-09-28T21:19:00.000-07:00

In this Algebra work problem, Dan wants to hire a worker to do his lawn. He only has 6 hours to have it done. The 1st lawn care guy named Steve said it would take 9 hours to do the job, and the 2nd guy Joe said he would take 10 hours to do the job. If Dan hires both, and assuming they get the same amount of work done together as they would individually, how long would it take them to get the lawn done together?

Work Problem 1 Solution

Cricket Formula

2008-09-03T18:32:00.001-07:00

This is a fun algebra novelty that will allow you to figure out the temperature on a hot summer day based on the number of times a cricket chirps. This "cricket formula" will provide you with the temperature in degrees Fahrenheit.

Cricket Formula
T = C4 + 37

where,

T = outdoor temperature
C4 = number of times a cricket chirps in 15 seconds(1/4 of a minute)
C = Chirps
4 = 1/4 minute

So, if a cricket chirped is 60 times in 15 seconds then:

T = 60 + 37 or 97 degrees Fahrenheit

Time Distance Problem 6

2008-07-14T19:41:00.001-07:00

In this Algebra time/distance problem, Bob leaves his house towards Springfield at 60 mi/hr. After 1 hour, Steve follows taking the same road in the same direction as Bob but at 90 mi/hr. How long until Steve catches up to Bob, and how far would they have gone at that point?

Time Distance Problem 6 Solution

Lever Problem 3

2008-04-10T11:46:00.000-07:00

Bob, who weighed 70 lbs, and Susan, who weighted 50 lbs, sat on opposite ends of a 12 foot teeter totter which had its balance point in the center. Chrissy who weighed 40 lbs sat on the same side as Susan and sat 5 feet from the fulcrum. How far would Steve, who weighs 35 lbs, have to sit on side with Bob to balance the teeter totter?

Algebra Lever Problem 3 Solution

Lever Problem 2

2008-03-26T19:52:00.000-07:00

100 lbs rests on the end of a 10 ft lever 2 ft from the fulcrum. How much weight must be applied to the other end of the lever so that the weights balance?

Solution

Lever Problem 1

2008-03-20T19:59:00.000-07:00

Sam weighs 100 lbs and sat 8 feet from the fulcrum of a teeter totter. His older brother James weights 150 lbs. How far from the fulcrum must he sit so that him and his brother balance?

Solution

Age Problem 3

2008-03-17T21:32:00.000-07:00

Greg's father is 30 years older than Greg. In 15 years the sum of their ages will be 130. What are their current ages?

Solution

Age Problem 2

2008-03-16T14:53:00.000-07:00

Jason is 4 times older than Bob at present. 8 years ago Jason was 12 times older. How old are Jason & Bob?

Solution Here

Age Problem 1

2008-03-15T15:33:00.000-07:00

Bob is currently twice as old as Steve. Twenty years ago Bob was 6 times as old as Steve. What are their current ages?

Solution Here

Mixture Problem 5

2008-03-13T11:40:00.000-07:00

You have 20 quarts of 30% alcohol solution and you're wanting to have 50% alcohol solution. How many quarts of pure alcohol would you need to mix with the 30% alcohol solution to make 50% alcohol solution?

Solution Here

Mixture Problem 4

2008-03-12T19:32:00.000-07:00

Steve wants to dilute 8 gallons of 75% alcohol solution to 50%. How many gallons of water must be added to do so?

Solution Here

Mixture Problem 3

2008-03-12T09:12:00.000-07:00

Elaine has 2 grades of coffee. She has a grade thats worth $3 a pound and another worth $5 a pound. She has 10 pounds of the $3 grade coffee. How many pounds of the $5 grade of coffee must she mix to get her ideal coffee which will sell based on grade at $4.50 per pound?

Solution Here

Coin Problem 5

2008-03-12T09:08:00.000-07:00

Steve has $20.51 of change. he has twice as many quarters as pennies and 20 times as many half dollars as quarters. How many of each type does he have?

Solution Here

Coin Problem 4

2008-03-11T18:55:00.000-07:00

Jeff has $19.43 worth of change on the table. He has 1 less penny than nickels, half as many dimes as pennies, half as many quarters as dimes, and 4 times as many half dollars as dimes. How many of each type did he have on the table?

Solution Here

Time & Distance Word Problem Videos

2008-03-11T13:26:00.000-07:00

*Wind & Current Word Problem:

Mixture Word Problem Videos

2008-03-11T13:23:00.000-07:00

Number Problem Videos

2008-03-11T13:22:00.000-07:00

Coin Word Problem Videos

2008-03-11T13:19:00.000-07:00

Algebra Word Problem Videos

2008-03-11T12:58:00.001-07:00

These are links to word problem videos off of youtube....

Coin Problems

Distance, Rate, & Time Problems 1

Distance, Rate, & Time Problems 2

Distance, Rate, & Time Problems 4

Mixture Problems

Investment Problems

Plane Geometric Figure Problems

Number Problems 1

Number Problems 2

Work Problems

Variation Problems 1

Variation Problems 2

Inverse Variation Problems

Direct & Inverse Variation Problems

Joint Variation Problems

Coin Problem 3

2008-03-10T21:19:00.000-07:00

Jed has a stamp collection. He has 2 more 25 cent stamps than he has 32 cent stamps, and he has twice as many 50 cent stamps as he has 25 cent stamps. Altogether he has $10.35 worth of stamps. How many of each type: 25, 32, and 50 cent stamps does he have?

Solution Here

Coin Problem 2

2008-03-10T20:01:00.000-07:00

Steve had 1 more than twice as many nickels as pennies, twice as many dimes as nickels, 1 more than twice as many 50 cent pieces as dimes, and twice as many quarters as 50 cent pieces. Altogether he has $107.37. How many pennies, nickels, dimes, quarters, and 50 cent pieces does he have?

Solution Here

Coin Problem 1

2008-03-10T18:52:00.000-07:00

John has a total of 71 cents of change in his pocket. He has 1 more nickel than he has pennies and 6 times as many dimes as pennies. How many of each coin type does he have?

Solution Here

Number Problem 5

2008-03-10T12:23:00.000-07:00

2 numbers added together equal 40. Twice the 1st number is 3 more than 5 times the other number. What are the 2 numbers?

Solution Here

Number Problem 4

2008-03-10T12:00:00.000-07:00

2 numbers added together equal 900. The 2nd number is twice as big as the 1st. What are the numbers?

Solution Here

Time and Distance Problem 5

2008-03-10T11:41:00.000-07:00

Karen leaves from New York to Paris going 600 mi/hr while Bob goes the opposite direction at 300 mi/hr. If they both left at noon, what time would they be 2100 miles apart?

Solution Here

Mixture Problem 2

2008-03-09T20:57:00.000-07:00

2 quarts of 10% boric acid solution is to mixed with a certain amount of 30% boric solution in order to make 20% boric acid solution. How much of the 30% boric acid solution is needed to make the needed 20% boric acid solution?

Solution Here

Time & Distance Problem 4

2008-03-09T20:21:00.001-07:00

Bob leaves New York to Berlin in a plane going 500 miles/hour. Steve goes in the opposite direction from Bob at 200 miles/hour. How long will it take until Bob and Steve are 1750 miles apart?

Solution Here

Time & Distance Problem 3

2008-03-09T18:00:00.000-07:00

Bob leaves from point A to point B going 20 miles/hour and Steve from the opposite direction of point B to point A going 60 miles/hour. If there is 800 miles between point A and point B, how long until Bob and Steve cross each other?

Solution Here

Definitions

2008-03-09T17:58:00.000-07:00

Algebra Word Problem Definitions

Basic

* = Multiplication
x = Variable
+ = Addition
- = Subtraction
/ = Division
( ) = Do whats inside 1st if applicable before doing anything else

ex: (8 + 7)/3 = (15)/3 = 5 which is the same thing as 8/3 +7/3 = 15/3 or (x+7)/3 = x/3 + 7/3 when x = 8

^ = Exponent

ex: 3^3 = 3 * 3 * 3 = 27 5^2 = 5 * 5 = 25

5(3) means multiply 5 * 3 = 15
5(1 + 2) same thing but you would usually just add the whats in the brackets 1st making 5(3) and again 15 or you could multiply across 5(1) + 5(2) = 5 + 10 = 15

6/3 is the same thing as 6 * 1/3 or x/y = x * 1/y

Finance

Principal = The amount of money that was invested.

Interest Rate = Percentage of Return on the Dollar Amount

(Yearly) Interest in Dollars = The return of investment.

Time, Rate, & Distance

Distance = A measurable amount of length between 2 points. Can be in feet(ft), kilometer(km), inches(in), miles, etc

Time = Can be represented in seconds(sec), minutes(min), hours(hr), etc

Rate = Speed of the object. Can be represented in miles/hour, km/hour, ft/sec

** more additions to the definitions will be added

Mixture Problem 1

2008-03-09T15:56:00.000-07:00

40 quarts of mixture has 15% alcohol. How many quarts of alcohol are in the solution?

Solution Here

Time and Distance Problem 2

2008-03-09T14:14:00.000-07:00

Bob leaves in his car driving at a constant speed of 40 miles/hour. 4 hours later Steve leaves going the same direction at 60 miles/hour. How long will it take until Steve catches up (is side by side) with Bob?

*Solution will be found in the post "Time & Distance Problem 2 Solution"

Solution Here

Number Problem 3

2008-03-09T13:00:00.000-07:00

3 consecutive odd numbers added together make 51. What are the three numbers?

**Solution found in post "Number Problem 2 Solution"

Solution Here

Number Problem 2

2008-03-08T21:45:00.000-08:00

When 3 consecutive even numbers are added together they equal 138. What are these numbers?

**Solution found in post "Number Problem 2 Solution"

Solution Here

Number Problem 1

2008-03-08T21:39:00.000-08:00

When 3 consecutive numbers are added together they equal 48. What are these numbers?

**Solution found in post "Number Problem 1 Solution"

Solution Here

Time & Distance Problem 1

2008-03-08T21:16:00.000-08:00

Bill and his friend Susie decided to walk a park's track. They got in an argument and decided not to walk together but opposite directions instead. If the track is 5 miles long and Bills constant walking speed is 3.5 miles an hour, and Susie's constant walking speed is 1.5 miles an hour, how much (distance) of the track will Bill cover, and how much (distance) of the track will Susie cover when they meet each other again going opposite directions? Also, how much time has gone by when they finally meet?

*Solution will be found in the post "Time & Distance Problem 1 Solution"

Solution Here