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Word Problems
Sub 505 (Easy)
A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
Sub 505 (Easy)
If the total payroll expense of a certain business in year Y was $84,000, which was 20 percent more than in year X, what was the total payroll expense in year X ?
Sub 505 (Easy)
If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 20 minutes?
Sub 505 (Easy)
On a 3-day fishing trip, 4 adults consumed food costing $60. For the same food costs per person per day, what would be the cost of food consumed by 7 adults during a 5-day fishing trip?
Sub 505 (Easy)
The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.25 each,4sodasat1.50 each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?
Sub 505 (Easy)
If a rectangular photograph that Is 10 inches wide by 15 inches long Is to be enlarged so that the width will be 22 inches and the ratio of width to length will be unchanged, then the length, in inches, of the enlarged photograph will be
Sub 505 (Easy)
If a printer can print 2 pages of text per second, then, at this rate, approximately how many minutes will it take to print 5,000 pages of text?
Sub 505 (Easy)
An investor purchased x shares of stock at a certain price. If the stock then increased in price 0.25pershareandthetotalincreaseforthexshareswas12.50. how many shares of stock had been purchased?
605-655 (Medium)
A decorator bought a bolt of defective cloth that he judged to be 3/4 usable, in which case the cost would be $0.80 per usable yard. If it was later found that only 2/3 of the bolt could be used, what was the actual cost per usable yard?
555-605 (Medium)
Three types of pencils, J, K, and L, cost 0.05,0.10, and 0.25each,respectively.Ifaboxof32ofthesepencilscostsatotalof3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?
555-605 (Medium)
A man who died left an estate valued at 111,000.Hiswillstipulatedthathisestatewastobedistributedsothateachofhisthreechildrenreceivedfromtheestateandhispreviousgifts,combined,thesametotalamount.Ifhehadpreviouslygivenhisoldestchild15,000, his middle child 10,000,andhisyoungest2,000, how much did the youngest child receive from the estate?
605-655 (Medium)
A 5-liter jug contains 4 liters of a saltwater solution that is 15 percent salt. If 1.5 liters of the solution spills out of the jug, and the jug is then filled to capacity with water, approximately what percent of the resulting solution in the jug is salt?
Sub 505 (Easy)
Kathy bought 4 times as many shares in Company X as Carl and Carl bought 3 times as many shares in the same company as Tom. Which of the following is the ratio of the number of shares bought by Kathy to the number of shares bought by Tom?
Sub 505 (Easy)
If each photocopy of a manuscript costs 4 cents per page, what is the cost, in cents, to reproduce x copies of an x-page manuscript?
655-705 (Hard)
If a taxi driver charges x cents for the first quarter-mile of a trip and (x/5) cents for each additional quarter-mile, what is the charge, in cents, for a trip whose distance in miles is the whole number y?
555-605 (Medium)
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in miles per hour, for the entire trip?
655-705 (Hard)
A family made a down payment of 75andborrowedthebalanceonasetofencyclopediasthatcost400. The balance with interest was paid in 23 monthly payments of 16eachandafinalpaymentof9. The amount of interest paid was what percent of the amount borrowed?
605-655 (Medium)
When an object is dropped, the number of feet N that it falls is given by the formula N = 1 2 g t 2 , where t is the time in seconds since it was dropped and g is 32.2. If it takes 5 seconds for the object to reach the ground, how many feet does it fall during the last 2 seconds?
555-605 (Medium)
A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 180 pounds and the average weight of the others being 215 pounds?
605-655 (Medium)
Ken left a job paying 75,000peryeartoacceptasalesjobpaying45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?