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Part V: Practice-Review-Analyze-Practice

43. C. In this type of problem (weighted average), you must multiply the number of students

times their respective scores and divide this total by the number of students as follows:

15 # 80 = 1,

200

10

# 90 =

900

TOTAL 25 2,

100

Now divide 25 into 2,100. This gives an average of 84%; therefore, the correct answer

is C.

44. B. The difference in the amounts invested would be 12% - 8%

, or 4% of the principal

($1,200) over three years.

I=

Prt

I = ^$, 1 200h^.

04h^3h

I = $ 144

45. A. The number of nickels that Angela has is x. Thus, the total value of those nickels (in

cents) is 5x. Angela also has twice as many dimes as nickels, or 2x. The total value in

cents of those dimes is 2x(10), or 20x. Adding together the value of the nickels and dimes

gives 5x+ 20x, or 25x.

46. B. For Tom to finish with 19 points in the five events, he must have finished with 3 first

places, 1 second place, and 1 third place. Thus, Tim would have finished with 3 second

places (worth 9 points), 1 third place (worth 1 point), and 1 fourth place (worth no points).

Tim would then finish with 10 points.

47. D. Since there are 4 floors, and they take 4 months to build the house, then the average is

1 floor per month. Choices A and B give information about each month or each floor, and

none is given or can be deduced. Choice C is not necessarily true. Choice E is wrong; the

house averages 4 rooms per floor.

48. D. To answer this question, multiply the total floor area by the percentage covered.

(Total area) # (part covered)

420 # . 45 = 189 square feet

49. E. The problem states “if x is greater than – 1 ⁄2.” This means it cannot equal – 1 ⁄2.You are

looking for an answer choice greater than – 1 ⁄2. The answer must be to the right of – 1 ⁄2.

(Numbers increase going to the right on a number line and decrease going to the left.)

− +

−2 −1 − 2 /3 − 1 /2 − 1 /4 0

All these are less than − 1 /2

This is the only choice greater than − 1 /2

50. A. Bob is the tallest. Habib is taller than Ed, who is taller than Sam and Cecil. Since

Ricardo is taller than Habib but shorter than Bob, Bob is the tallest.

324

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