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Word Problems
555-605 (Medium)
A certain fruit stand sold apples for 0.70eachandbananasfor0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?
Sub 505 (Easy)
A case contains
c
cartons. Each carton contains
b
boxes, and each box contains 100 paper clips. How many paper clips are contained in 2 cases?
505-555 (Easy)
Car X averages 25 miles per gallon of gasoline and Car Y averages 11.9 miles per gallon. If each car is driven 12,000 miles, approximately how many more gallons of gasoline will Car Y use than Car X ?
555-605 (Medium)
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
Sub 505 (Easy)
On Monday, a person mailed 8 packages weighing an average (arithmetic mean) of 12 3 8 pounds, and on Tuesday, 4 packages weighing an average of 15 1 4 pounds. What was the average weight, in pounds, of all the packages the person mailed on both days?
555-605 (Medium)
At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
605-655 (Medium)
The price of lunch for 15 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Sub 505 (Easy)
The average (arithmetic mean) score on a test taken by 10 students was x. If the average score for 5 of the students was 8, what was the average score, in terms of x, for the remaining 5 students who took the test?
Sub 505 (Easy)
A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Sub 505 (Easy)
A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
Sub 505 (Easy)
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have
not
passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
555-605 (Medium)
A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by 1,10fewerofthetowelscouldbeboughtfor120, excluding sales tax. What is the current price of each towel?
555-605 (Medium)
A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Sub 505 (Easy)
During a certain season, a team won 80 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
555-605 (Medium)
Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?
655-705 (Hard)
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
Sub 505 (Easy)
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight. If 39 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
555-605 (Medium)
In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was 3/5. After 600 additional Republicans and 500 additional Democrats registered, the ratio was 4/5. After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?
Sub 505 (Easy)
Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?
Sub 505 (Easy)
In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?