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!

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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

ReplyDeleteIf 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?

ReplyDeleteJunior'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 spead of the current?

ReplyDeleteA boat, whose speed in still water is 6Km per hour travels 10Km upstream and then

ReplyDelete14Km downstream in 8 hours (so that the boat finishes 4Km further downstream than

it started). What is the speed of the current?

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.

ReplyDeletewho can answer?!..

ok made a new post and answered the numerator and denominator problem

ReplyDeleteok got the solution for the merchant tea problem as well

ReplyDelete2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. Describe how you arrived at your answer.

ReplyDeleteThat isn't a algebra "word" problem -- but I'll help you out anyway--- the years are the x coordinate and the y is the dollar amount -- the slope would be the difference in the y's over the x's or (y2 - y1)/(x2 - x1) so you have the points (1997, 1.26) and (2006, 2.31) it would make it easier for the slope if you get rid of the decimals so mutilply everything by 100 (199700, 126) and (200600, 231) now take (231 - 126)/(200600 - 199700) = 105/900 (15 is the gcd of 105 and 900 so divide by 15 on the top and bottom) and you get 7/60 which is the slope

ReplyDeleteThe sum of the squares of two digits of a positive integer is 13 If the number itself is more than 6 times the sum of its digits, find the number.

ReplyDeleteThe diameter of te front and rear wheels of a pushcart are 18 and 30 inches, respectively. In what distance in feet would the front wheel make 20 revolutions more than the rear wheel?

ReplyDeleteJoe 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?

ReplyDeleteOk posted a solution for the Joe and Jiim paint a house problem.....

ReplyDeleteA and B working together can complete a job in 30 days. After they had both worked 18 days, however, A left and B finished the work in 20 more days. Find the time in which each can do the work alone

ReplyDeleteI'd appreciate the answer.. thank you!

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?

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

ReplyDeleteone number is 5 more than another.their sum is 53.what are the two numbers?

ReplyDeletea boat travels 10 km upstream and 10 km back. The tie for the round trip is 10 hrs. The spead of the stream is 4 km/hr. What is the speed of the boat in still water?

ReplyDeleteCan someone help? I need it as a decimal.

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?

ReplyDeletesome one plz help i need an aswer fast!!!!!

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?

ReplyDeleteThe 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?

ReplyDeletePlease, I need help fast

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?

ReplyDeleteFind 3 consecutive even integers such that 4 times the first is decreased by the second is 12 more than twice the third.

ReplyDeletetwenty five coins ,whose values is &2.75, are made up of nickels ,dimes and quarters .If the nickels were dimes ,the dimes were quarters and the quarters were nickels ,the total value would be $3.75.How many coins of type are there?

ReplyDeletetwenty five coins,whose values is $2.75 ,are made up of nickels ,dimes and quarters .If the nickels were dimes ,the dimes were Quarters and the quarters were nickels ,the total value would be $3.75.How many coins of each tyoe are there?

ReplyDeleteHow many gallons of 80% antifreexe solution must be mixed wih with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze?

ReplyDelete1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $85,000 loan from your family and a $36,125 small business loan. These loans must be repaid in full within 10 years.

ReplyDeletea. You will use 25% of your budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. How much money will rent and utilities cost? Make sure to answer both parts of this question.

Alex has made 42 of the 48 payments he owes on his car but is having trouble to make his full payments. He has made arrangement with the bank to pay 2/3rds of his monthly payment rather then the entire payment every month. How many months will it take Alex to pay off his car loan with this new payment arrangement?

ReplyDeleteA)8

B)9

C)10

D)12

Four years ago, Pinky was 4 times as old as Rosie. In ten years, she will be two years younger than twice the age of Rosie. How old are they now?

ReplyDeleteHow many liters of a 40% solution and a 16% solution must be mixed to obtain 20 liters of a 22% solution?

ReplyDeleteSheila bought burgers and fries for her children and some friends. The burgers cost $2.05 each and the fries cost $0.85 each. She bought a total of 14 items, for a total cost of $19.10. How many of each did she buy?

ReplyDeleteMs. Jones invested $18,000 in two accounts. One account pays 6% simple interest and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account?

ReplyDeleteOne number is 5 more than twice another number. The sum of the numbers is 35. What are the numbers?

ReplyDeleteThanks so much! I love this site! :)

A retail merchant invested $6,500 in three kinds of cameras. The profit on the sales of camera A was 25%; on the sales of camera B the profit was 12%; and there was a loss of 1% on the sales of camera C. If a merchant invested an equal amount in cameras A and B, and the overall profit on the total investment was 14%, how much was invested in each kind of camera?

ReplyDeletePlease! I need the answers as soon as possible or now. Thanks!

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? I need your help! Help me answer this asap! :)

ReplyDeleteNona 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? Please help me answer this! thanks a lot!

ReplyDeletea 15-foot ladder is placed against the walls of a building.To find the distance of the of the ladder from the ground,the following equation can be used:b2=c2-a2,where b is the distance of the top of the ladder from the ground,c is the length of the ladder ,and a is the distance of the top of the ladder from a building.

ReplyDeleteA.How would you find the distance of the top of the ladder from the ground?

B.what is the distance of the top of the ladder from the ground?

C.suppose the length of the ladder increases,would the of the top from the ground increases?

how about if the length of the ladder decreases?

D.robin says that if the distance of the ladder from the building is 0,then the top of the ladder is 15feet from the ground.because 0+15=15.likewise,when the bottom of the ladder is 15 feet from the building its top is also 7.5+7.5=15.do you agree with robin?why or why not?

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?

ReplyDeletea number added to five times its reciprocal is -6. find the number

ReplyDeletea number added to five times its reciprocal is -6. find the number

ReplyDeleteA 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.

ReplyDeleteA 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?

ReplyDeleteA man and a boy perform a task in 2 days. They completed one half of the task the first day with the man working 8 hours and the boy working 10 hours. On the next day, they finished the task with the man working 4 hours and the boy working 15 hours. Find how many hours would it take for each to do the task working alone.

ReplyDeleteThe 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?

ReplyDeleteA jeweler has five rings, each weighing 18g,made of alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should he add??

ReplyDeleteA 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?

ReplyDeletewhat is the mathematical notation for absolute value?

ReplyDeleteAlex 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?

ReplyDeleteAn 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?

ReplyDeleteAlex 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?

ReplyDeletecatrina 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?

ReplyDeleteIn a store, there was a supply of 2 sizes of Christmas cards. The large cards cost 1 zenny each, the medium cards cost .80 zenny, the small cards cost .60 zenny each. Genaro purchased 10 cards, which consisted of 1/4 of the available large cards, 1/3 of the available medium cards, 1/2 of the available small cards. The total cards was 8.20 zenny. If there were 21 cards remaining on the counter after his purchase, how many cards each did he purchase?

ReplyDeleteIn a store, there was a supply of 2 sizes of Christmas cards. The large cards cost 1 zenny each, the medium cards cost .80 zenny, the small cards cost .60 zenny each. Genaro purchased 10 cards, which consisted of 1/4 of the available large cards, 1/3 of the available medium cards, 1/2 of the available small cards. The total cards was 8.20 zenny. If there were 21 cards remaining on the counter after his purchase, how many cards each did he purchase?

ReplyDeleteWhile marching, a drum major tosses a baton into the air and catches it. The height is h (in feet) of the baton after t seconds can be modeled by h = -16t exponent 2 + 32t + 6. Find the maximum height of the baton.

ReplyDelete"While marching, a drum major tosses a baton into the air and catches it. The height is h (in feet) of the baton after t seconds can be modeled by h = -16t exponent 2 + 32t + 6. Find the maximum height of the baton." -- Use the Vertex Formula which is -b/2a where a is the number value before the exponent of 2 in this case -16 and b is the number value before the exponent of 1 which is 32 in this case so it ends up being -32/2(-16) = -32/-32 = 1. Ok so thats the time or t when the baton reaches the maximum height. Now to actually find the height or h just plug 1 back into the original equation and you get -16(1)^2 + 32(1) + 6 = 22 feet

ReplyDeleteAnonymous said...

ReplyDeletewhat is the mathematical notation for absolute value?

|x| = absolute value

Why isn't anyone writing the answers?

ReplyDeleteThe questions are indeed good, so please provide the answers......

Anonymous ?

ReplyDeleteperla is now five times asold as marilou.in 10years perla will be 3 timesas old as marilou.how old is which?

ReplyDeleteTwo printers can print a 280-page document in 20 minutes. One of the printers can print 6 pages per minute. How many pages can the other printer print per minute?

Deleteif joe can paint a house in 3 hours and sam can paint the same house in 5 hours, how long does it take them to do it together.

ReplyDeleteYou invested $6000 dollars in two stocks paying 9% and 6% annual interest, respectively. At the end of the year, the total interest from these investments was $480. How much was invested at each rate?

ReplyDeleteSarah Meehan blends coffe for Tasti-Delight. She needs to prepare 170 pounds of blended coffee beans selling for $4.82 per pound. She plans to do this by blending together a high quality bean costing $6.00 per pound and a cheaper bean at $3.50 per pound. To the nearest pound, find how much high quality coffe beans and how much cheaper coffee bean she would blend?

ReplyDeleteA mountain has an elevation of 19,855 feet. In 1908 a glacier covered 4 acres by 2003 the glacier melted to only 1 acre. Assume the glacier melted at a constant rate each year. Find the yearly rate.

ReplyDeletetwo thirds of a number reduced by 11 is equal to 4 more than the number

ReplyDeletetripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer

ReplyDelete