Word Problems

If Jack’s and Kate’s annual salaries in 1985 were each 10 percent higher than their respective annual salaries in 1984, what was Jack’s annual salary in 1984 ? (1) The sum of Jack’s and Kate’s annual salaries in 1984 was $50,000. (2) The sum of Jack’s and Kate’s annual salaries in 1985 was $55,000.

How many newspapers were sold at a certain newsstand today? (1) A total of 100 newspapers were sold at the newsstand yesterday, 10 fewer than twice the number sold today. (2) The number of newspapers sold at the newsstand yesterday was 45 more than the number sold today.

How much did a certain telephone call cost? (1) The call lasted 53 minutes. (2) The cost for the first 3 minutes was 5 times the cost for each additional minute.

Marcia's bucket can hold a maximum of how many liters of water? (1) The bucket currently contains 9 liters of water. (2) If 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3.

A total of 9 women and 12 men reside in the 21 apartments that are in a certain apartment building, one person to each apartment. If a poll taker is to select one of the apartments at random, what is the probability that the resident of the apartment selected will be a woman who is a student? (1) Of the women, 4 are students. (2) Of the women, 5 are not students.

In a school election, if each of the 900 voters voted for either Edith or Jose (but not both), what percent of the female voters in this election voted for Jose? (1) Eighty percent of the female voters voted for Edith. (2) Sixty percent of the male voters voted for Jose.

If the total price of n equally priced shares of a certain stock was $12,000, what was the price per share of the stock? (1) If the price per share of the stock had been $1more,thetotalpriceofthenshareswouldhavebeen$300 more. (2) If the price per share of the stock had been $2 less, the total price of the n shares would have been 5 percent less.­ ID: 700113

What is Ricky's age now? (1) Ricky is now twice as old as he was exactly 8 years ago. (2) Ricky's sister Teresa is now 3 times as old as Ricky was exactly 8 years ago.

On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning? (1) The machine began filling the order at 9:30 a.m. (2) The machine had filled 1/2 of the order by 10:30 a.m. and 5/6 to the order by 11:10 a.m.­ ID: 700115

If Hans purchased a pair of skis and a ski jacket, what was the cost of the skis? (1) The ratio of the cost of the skis to the cost of the jacket was 5 to 1. (2) The total cost of the skis and the jacket was $360.

If a certain city is losing 12 percent of its daily water supply each day because of water-main breaks, what is the dollar cost to the city per day for this loss? (1) The city’s daily water supply is 350 million gallons. (2) The cost to the city for each 12,000 gallons of water lost is $2.

Buckets X and Y contained only water and bucket Y was 1/2 full. If all of the water in bucket X was then poured into bucket Y, what fraction of the capacity of Y was then filled with water? (1) Before the water from X was poured, X was 1/3 full (2) X and Y have the same capacity.

Did Sally pay less than x dollars, including sales tax, for her bicycle? (1) The price Sally paid for the bicycle was (0.9)x dollars, excluding the 10 percent sales tax. (2) The price Sally paid for the bicycle was $170. excluding sales tax.

In a certain senior citizens’ club, are more than 1/4 of the members over 75 years of age? (1) Exactly 60 percent of the female members are over 60 years of age, and, of these, 1/3 are over 75 years of age. (2) Exactly 10 male members are over 75 years of age.

If Aaron, Lee, and Tony have a total of $36, how much money does Tony have? (1) Tony has twice as much money as Lee and 1/3 as much as Aaron. (2) The sum of the amounts of money that Tony and Lee have is half the amount that Aaron has.

The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. Did the profit exceed $4 million on sales of 380,000 units? (1) The profit exceeded $2 million on sales of 200,000 units. (2) The profit exceeded $5 million on sales of 350,000 units.

An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week? (1) The employee's regular hourly rate is $10. (2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.

At Larry's Auto Supply Store, Brand X antifreeze is sold by the gallon and Brand Y motor oil is sold by the quart. Excluding sales tax, what is the total cost for 1 gallon of Brand X antifreeze and 1 quart of Brand Y motor oil? (1) Excluding sales tax, the total cost for 6 gallons of Brand X antifreeze and 10 quarts of Brand Y motor oil is $58. (There is no quantity discount.) (2) Excluding sales tax, the total cost for 4 gallons of Brand X antifreeze and 12 quarts of Brand Y motor oil is $44. (There is no quantity discount.)

The regular price per eight-ounce can of brand X soup is $0.37, regardless of the number of cans purchased. What amount will be saved on the purchase of 3 eight-ounce cans of brand X soup if the regular price is reduced ? (1) At the reduced price, 3 eight-ounce cans of brand X soup will cost $0.99 (2) The amount that will be saved on each eight-ounce can of brand X soup purchased at the reduced price is $0.04.

A swim club that sold only individual and family memberships charged $300foranindividualmembership.Iftheclub\hat{a}€™stotalrevenuefrommembershipswas$480,000, what was the charge for a family membership ? (1) The revenue from individual memberships was 1/4 of the total revenue from memberships. (2) The club sold 1.5 times as many family member- ships as individual memberships.