Word Problems

A store sold only shirts and pants one day. How many shirts were sold? (1) The store sold 60 items total. (2) The number of pants sold was twice the number of shirts.

Car A and Car B leave the same point and travel in opposite directions. After how many hours are they 300 miles apart? (1) Car A travels at 40 mph, Car B at 60 mph. (2) Car B travels 50% faster than Car A.

What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price? (1) x = 50 (2) Full-price tickets sold for $20 each.

When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result? (1) The player tossed the coin 24 times. (2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ? (1) The price of the Model K mixer was $102.40 more in 1989 than in 1970. (2) The price of the Model K mixer was $142.40 in 1989.

Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have? (1) Each member's contribution is to be $4. (2) If 5 club members fail to contribute, the share of each contributing member will increase by $2.

Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase? (1) Her gross weekly pay is currently $225.00. (2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.

A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride? (1) The company charges $0.90 for a 2-mile ride. (2) The company charges $1.20 for a 4-mile ride.

What amount did Jean earn from the commission on her sales in the first half of 1988 ? (1) In 1988 Jean's commission was 5 percent of the total amount of her sales. (2) The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.

If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael? (1) Rafael has more than 5 tapes. (2) Carmen has fewer than 12 tapes.

Is William taller than Jane? (1) William is taller than Anna. (2) Anna is not as tall as Jane.

A coal company can choose to transport coal to one of its customers by railroad or by truck. If the railroad charges by the mile and the trucking company charges by the ton, which means of transporting the coal would cost less than the other? (1) The railroad charges $5,000plus$0.01 per mile per railroad car used, and the trucking company charges $3,000plus$85 per ton. (2) The customer to whom the coal is to be sent is 195 miles away from the coal company.

A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet? (1) After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of $403. (2) The jewelry dealer sold the bracelet for $1,953.

In a certain packinghouse, grapefruit are packed in bags and the bags are packed in cases. How many grapefruit are in each case that is packed? (1) The grapefruit are always packed 5 to a bag and the bags are always packed 8 to a case. (2) Each case is always 80 percent full.

If a rope is cut into three pieces of unequal length, what is the length of these pieces of rope? (1) The combined length of the two longer pieces is 12 meters. (2) The combined of the two shorter pieces is 11 meters.

A certain company paid bonuses of $125toeachofitsexecutiveemployeesand$75 to each of its nonexecutive employees. If 100 of the employees were nonexecutives, how many were executives? (1) The company has a total of 120 employees. (2) The total amount that the company paid in bonuses to its employees was $10.000.

What fraction of his salary did Mr. Johnson put into savings last week? (1) Last week Mr Johnson put $17 into savings (2) Last week Mr Johnson put 5% of his salary into savings

If the price of a magazine is to be doubled, by what percent will the number of magazines sold decrease? (1) The current price of the magazine is $1.00. (2) For every $0.25 of increase in price, the number of magazines sold will decrease by 10 percent of the number sold at the current price.

For a certain bottle and cork, what is the price of the cork? (1) The combined price of the bottle and the cork is 95 cents. (2) The price of the bottle is 75 cents more than the price of the cork.

Last year an employee received a gross annual salary of $18,000, which was paid in equal paychecks throughout the year. What was the gross salary received in each of the paychecks? (1) The employee received a total of 24 paychecks during the year. (2) The employee received a paycheck twice a month each month during the year.