Word Problems

An investor purchased x shares of stock at a certain price. If the stock then increased in price $0.25pershareandthetotalincreaseforthexshareswas$12.50. how many shares of stock had been purchased?

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?

Three types of pencils, J, K, and L, cost $0.05,$0.10, and $0.25each,respectively.Ifaboxof32ofthesepencilscostsatotalof$3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?

A man who died left an estate valued at $111,000.Hiswillstipulatedthathisestatewastobedistributedsothateachofhisthreechildrenreceivedfromtheestateandhispreviousgifts,combined,thesametotalamount.Ifhehadpreviouslygivenhisoldestchild$15,000, his middle child $10,000,andhisyoungest$2,000, how much did the youngest child receive from the estate?

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?

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?

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?

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?

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?

A family made a down payment of $75andborrowedthebalanceonasetofencyclopediasthatcost$400. The balance with interest was paid in 23 monthly payments of $16eachandafinalpaymentof$9. The amount of interest paid was what percent of the amount borrowed?

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?

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?

Ken left a job paying $75,000peryeartoacceptasalesjobpaying$45,000 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?

A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine? (128 fluidrams = 16 fluidounces)

An instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly?

Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

A manager has $6,000 budgeted for raises for 4 full-time and 2 part-time employees. Each of the full-time employees receives the same raise, which is twice the raise that each of the part-time employees receives. What is the amount of the raise that each full-time employee receives?

Three stacks containing equal numbers of chips are to be made from 9 red chips, 7 blue chips, and 5 green chips. If all of these chips are used and each stack contains at least 1 chip of each color, what is the maximum number of red chips in any one stack?

Bottle R contains 250 capsules and costs $\mathrm{6.25.}BottleTcontains130capsulesandcosts$2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?

Over the last three years a scientist had an average (arithmetic mean) yearly income of $45,000. The scientist earned 1 1 2 times as much the second year as the first year and 2 1 2 times as much the third year as the first year. What was the scientist's income the second year?