Lever Problem 2

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

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

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

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

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

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

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

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

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

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

*Wind & Current Word Problem:

Mixture Word Problem Videos

Number Problem Videos

Coin Word Problem Videos

Algebra Word Problem Videos

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

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

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

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

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

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

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

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

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

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

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

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


Solution Here

Suggested Problems

If you have a word problem suggestion this is where you can post the specific problem or type of problem you'd like to see on this blog. I'll try my best to add more to the subject, and/or others may help you that come on to this blog.


Suggested Problems

Time and Distance Problem 2

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

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

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

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

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