Problem Solving

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

If (7 3 4) n = 7 , what is the value of n?

Two trains, X and Y, started simultaneously from opposite ends of a 100-mile route and traveled toward each other on parallel tracks. Train X, traveling at a constant rate, completed the 100-mile trip in 5 hours; Train Y, traveling at a constant rate, completed the 100-mile trip in 3 hours. How many miles had Train X traveled when it met Train Y?

How many minutes does it take to travel 120 miles at 400 miles per hour?

A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)

The Official Guide For GMAT® Quantitative Review, 2ND Edition An automobile's gasoline mileage varies, depending on the speed of the automobile, between 18.0 and 22.4 miles per gallon, inclusive. What is the maximum distance, in miles, that the automobile could be driven on 15 gallons of gasoline?

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year?

What is the ratio of 3/4 to the product 4(3/4)?

Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria?

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

For all numbers s and t, the operation * is defined by s*t = (s - 1)(t + 1). If (-2)*x = -12, then x =

The temperature in degrees Celsius (C) can be converted to temperature in degrees Fahrenheit (F) by the formula F = 9 5 * C + 32 . What is the temperature at which F = C?

If the number n of calculators sold per week varies with the price p in dollars according to the equation n = 300 - 20p, what would be the total weekly revenue from the sale of $10 calculators?

If x ≠ 2 , then 3 x 2 (x − 2) − x + 2 x − 2

If x > 3,000, then the value of x/(2x + 1) is closest to

(1 + 5 √) (1 − 5 √) = (1 + 5) (1 − 5) =

If x and y are different integers and x^2 = xy, which of the following must be true? I. x = 0 II. y = 0 III. x = -y

(− 1.5) (1.2) − (4.5) (0.4) 30

If k ≠ 0 and k − 3 − 2 k 2 k = x k , then x =