Word Problems

Three children inherited a total of X dollars. If the oldest child inherited $7,000morethantheyoungestchild,andtheyoungestchildinherited$9,000 less than the middle child, what is the value of X ? (1) The middle child inherited $27,000. (2) The youngest child and the middle child together inherited a total of $45,000.

A certain computer company produces two different monitors, P and Q. In 2010, what was the net profit from the sale of the two monitors? (1) Of the company's expenses in 2010, rent and utilities totaled $500,000. (2) In 2010, the company sold 50,000 units of monitor P at $300perunitand30,000unitsofmonitorQat$650 per unit.

A certain pizzeria has more than fifty types of pizzas on its menu. The chart shows the revenue share, in the pizzeria’s total revenue in the last month, of its four most popular pizza types. Each pizza type has only a single size and a single price. Which was their best-selling pizza last month in terms of number of pizzas sold? (1) The number of customers who ordered at least one Pep-Peroni pizza last month was greater than the number of customers who ordered at least one of any other pizza type last month. (2) The lowest-priced pizza type on the pizzeria’s menu is Tomato Blast, followed by VegCheese.

Five coffee–chicory blends—J, K, L, M, and N—are all priced differently. The blends are such that the greater the proportion of coffee, the more expensive the blend—and the greater the proportion of chicory, the stronger the flavor of the blend. If the five blends were ranked in order of cost per kilogram, which would fall in the middle? (1) Blend L has a higher proportion of coffee than the other blends except for Blend M. (2) Blend K and Blend N both have a stronger flavor than Blend J.

The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet? (1) The total number of shirts and jackets in the closet is less than 30 (2) The total number of shirts and dresses in the closet is 26

For a certain city's library, the average cost of purchasing each new book is $28.Thelibraryreceives$15,000 from the city each year,the library also receives a bonus of $2,000 if the total number of items checked out over the course of the year exceeds 5,000.Did the library receive the bonus last year ? (1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost. (2) The lowest number of items checked out in one month was 459 .

For a new project, an organization is creating a three-member team from among its employees. Selection of members for the team conforms to exactly two rules: no selected member can be working on more than one other project at the time of selection, and at least one of the selected members must have an MBA degree. The organization has selected Paula and Quincy for the team. Neither of these will be replaced before the third member is selected. The organization is about to make the third selection. If the organization adheres to the selection rules for committee membership, is it possible that Rubin will be selected for the team? (1) Quincy has an MBA degree, and Rubin is currently working on only one other project. (2) Rubin is one of only two employees in the organization who have an MBA degree.

A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large? (1) In the production lot, 400 of the small toys are green. (2) In the production lot, 2/3 of the toys produced are small.

In a certain class, some students donated cans of food to a local food bank. What was the average (arithmetic mean) number of cans donated per student in the class? (1) The students donated a total of 56 cans of food. (2) The total number of cans donated was 40 greater than the total number of students in the class.

In each game of a certain tournament, a contestant either loses 3 points or gains 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament? (1) At the end of the tournament, Pat had 104 points (2) Pat played fewer than 10 games

Kim and Sue each bought some roses and some daisies at the prices shown above. If Kim bought the same total number of roses and daisies as Sue,was the price of Kim's purchase of roses and daisies higher than the price of Sue's purchase of roses and daisies? (1) Kim bought twice as many daisies as roses (2) Kim bought 4 more roses than Sue bought

Beginning in January of last year, Carl made deposits of $120intohisaccountonthe15thofeachmonthforseveralconsecutivemonthsandthenmadewithdrawalsof$50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year? (1) Last year the closing balance of Carl's account for April was less than $2,625. (2) Last year the closing balance of Carl's account for June was less than $2,675.

Benjamin is a salesman working for commission at a shoe store. For the first $1,000worthofsalesinagivenmonth,heearnsacommissionof2$1,000 in that month, he earns a commission of 4%. What is the total dollar value of sales made by Benjamin in the month of March? (1) Benjamin earned a commission of $120 in March. (2) Benjamin doubled the dollar value of his sales in March compared to his sales in February.

On Day X, was the forecast temperature 36°C at noon? (1) On Day X, the forecast temperature was 30°C at 9:00 a.m. and 40°C at 2:00 p.m. (2) On Day X, every half hour, the forecast temperature increased by 1°C.

A certain plumber charges $92foreachjobcompletedin4hoursorlessand$23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the two jobs? (1) The plumber charged $92 for one of the two jobs. (2) The plumber charged $138 for one of the two jobs.

If a building has 6,000 square meters of floor space, how many offices are in the building? (1) Exactly 1/4 of the floor space is not used for offices. (2) There are exactly 20 executive offices and each of these occupies 3 times as much floor space as the average for all of the remaining offices.

Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (1) y ≥ 15 and t = 2 (2) y = 17

If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? (1) The selling price of the sofa was greater than 140 percent of the purchase price. (2) The merchant's gross profit from the purchase and sale of the sofa was 1/3 of the selling price.

At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what is the discounted price of the second shirt? (1) The regular price of each of the 2 shirts the customer buys at the clothing store is $16. (2) The cost to the clothing store of each of the 2 shirts the customer buys is $12.

The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds? (1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively. (2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.