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Word Problems
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A rectangular garden that is 10 feet long and 5 feet wide is to be covered with a layer of mulch 0.5 foot deep. At which store, K or L, will the cost of the necessary amount of mulch be less?
(1) Store K sells mulch only in bags, each of which costs $7 and contains 6.25 cubic feet of mulch.
(2) Store L sells mulch only in bags, each of which costs $40 and contains 25 cubic feet of mulch.
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If Ruth began a job and worked continuously until she finished, at what time of day did she finish the job?
(1) She started the job at 8:15 a.m. and at noon of the same day she had worked exactly half of the time that it took her to do the whole job.
(2) She was finished exactly 7.5 hours after she had started.
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If John is exactly 4 years older than Bill, how old is John?
(1) Exactly 9 years ago John was 5 times as old as Bill was then.
(2) Bill is more than 9 years old.
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Before play-offs, a certain team had won 80 percent of its games. After play-offs, what percent of all its games had the team won?
(1) The team competed in 4 play-off games.
(2) The team won all of its play-off games.
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The cost to charter a certain airplane is x dollars. If the 25 members of a club chartered the plane and shared the cost equally, what was the cost per member?
(1) If there had been 5 more members and all 30 had shared the cost equally, the cost per member would have been $40 less.
(2) The cost per member was 10 percent less than the cost per person on a regularly scheduled flight.
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If representsadigitinthe7−digitnumber3,62,215, what is the value of $?
(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number
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Last Tuesday a trucker paid $155.76, including 10 percent state and federal taxes, for diesel fuel. What was the price per gallon for the fuel if the taxes are excluded?
(1) The trucker paid $0.118 per gallon in state and federal taxes on the fuel last Tuesday.
(2) The trucker purchased 120 gallons of the fuel last Tuesday.
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At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?
(1) At the picnic, 60 percent of the guests were served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served to all the guests at the picnic.
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A certain bakery sells rye bread in 16-ounce loaves and 24-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery?
(1) The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40.
(2) The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40.
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Paula and Sandy were among those people who sold raffle tickets to raise money for Club X. If Paula and Sandy sold a total of 100 of the tickets, how many of
the tickets did Paula sell?
(1) Sandy sold 2/3 as many of the raffle tickets as Paula did.
(2) Sandy sold 8 percent of all the raffle tickets sold for Club X.
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A certain company currently has how many employees?
(1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company
(2) If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company
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What was the average number of miles per gallon of gasoline for a car during a certain trip?
(1) The total cost of the gasoline used by the car for the 180 mile trip was $12.00
(2) The cost of the gasoline used by the car for the trip was $1.20 per gallon
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The only contents of a parcel are 25 photographs and 30 negatives. What is the total weight, in ounces, of the parcel's contents?
(1) The weight of each photograph is 3 times the weight of each negative.
(2) The total weight of 1 of the photographs and 2 of the negatives is 1/3 ounce.
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A sum of $200,000 from a certain estate was divided among a spouse and three children. How much did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the reminder
(2) Each of the two younger children received 12,500 more than the oldest child and 62500 less than the spouse
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If the Lincoln Library's total expenditure for books, periodicals, and newspapers last year was $44,000, how much of the expenditure was for books?
(1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers.
(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals.
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The regular price for canned soup was reduced during a sale. How much money could one have saved by purchasing a dozen 7-ounce cans of soup at the reduced price rather than at the regular price?
(1) The regular price for the 7-ounce cans was 3 for a dollar.
(2) The reduced price for the 7-ounce cans was 4 for a dollar.
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If on a fishing trip Jim and Tom each caught some fish, which one caught more fish?
(1) Jim caught 2/3 as many fish as Tom.
(2) After Tom stopped fishing, Jim continued to fish until he caught 12 fish.
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Yesterday Nan parked her car at a certain parking garage that charges more for the first hour than for each additional hour. If Nanâs total parking charge at the garage yesterday was $3.75, for how many hours of parking was she charged?
(1) Parking charges at the garage are 0.75forthefirsthourand0.50 for each additional hour or fraction of an hour.
(2) If the charge for the first hour had been 1.00,Nana^stotalparkingchargewouldhavebeen4.00.
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From May 1, 1960, to May 1, 1975, the closing price of a share of stock X doubled. What was the closing price of a share of stock X on May 1, 1960?
(1) From May 1, 1975 to May 1, 1984, the closing price of a share of stock X doubled.
(2) From May 1, 1975 to May 1, 1984, the closing price of a share of stock X increased by $4.50
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Committee member W wants to schedule a one-hour meeting on Thursday for himself and three other committee members, X, Y, and Z. Is there a one-hour period on Thursday that is open for all four members?
(1) On Thursday W and X have an open period from 9:00 a.m. to 12:00 noon.
(2) On Thursday Y has an open period from 10:00 a.m. to 1:00 p.m. and Z has an open period from 8:00 a.m. to 11:00 a.m.