Problem Solving

1. According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

A. 25
B. 34
C. 50
D. 67
E. 100

2. Adam and Beth each drove from Smallville to Crown City by different routes. Adam drove an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Adam to complete the trip. How many miles per hour was Beth's aaverage speed on this trip?

A. 24
B. 30
C. 48
D. 54
E. 75

4. At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

A. 6 to 1
B. 3 to 2
C. 2 to 3
D. 1 to 5
E. 1 to 6

9. In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?

A. d = (p - 0.22)
B. d = (p / 1.22)
C. d = (p/1.04) - 0.18
D. d = (p-0.18)/(1.04)
E. d = (p-0.04)/1.18

10. For all positive integers m, [m] = 3m when m is odd and [m] = m/2 when m is even. Which of the following is equivalent to [9] * [6]?

A. [81]
B. [54]
C. [36]
D. [27]
E. [18]