Page 227 - Basic College Mathematics with Early Integers

204 C HAPTE R 3 I FRACTIONS

Objective Given the following replacement values, evaluate (a) xy and (b) x , y. See Example 13.
2 5 8 1 4 9 7 1
57. x = and y = 58. x = and y = 59. x =- and y = 60. x = and y =-
5 6 9 4 5 11 6 2

Objective Translating Solve.Write each answer in simplest form. For Exercises 61 through 64, recall that “of”
translates to multiplication. See Example 14.
1 1 5 5
61. Find of 200. 62. Find of 200. 63. Find of 24. 64. Find of 24.
4 5 6 8

Solve. For Exercises 65 and 66, the solutions have been started for you. See Example 14.
4 1
65. In the United States, of college freshmen major in 66. A patient was told that, at most, of his calories
25 5
business.A community college in Pennsylvania has a should come from fat. If his diet consists of 3000
freshman enrollment of approximately 800 students. calories a day, find the maximum number of calories
How many of these freshmen might we project are that can come from fat.
majoring in business?
Start the solution:
Start the solution:
1. UNDERSTAND the problem. Reread it as many
1. UNDERSTAND the problem. Reread it as many times as needed.
times as needed.
2. TRANSLATE into an equation. (Fill in the blank
2. TRANSLATE into an equation. (Fill in the blank below.)
below.)
patient’s 1 his daily
freshmen community college is of
4 fat calories 5 calories
majoring in is of freshmen
25
business enrollment T T T T T
T T T T T patient’s = 1 #
freshmen 4 fat calories 5
majoring in = # Finish with:
25
business 3. SOLVE.
Finish with:
4. INTERPRET.
3. SOLVE.
4. INTERPRET.

67. In a recent year, there were approximately 175 million 68. In a recent year, movie theater owners received a
7 total of $7660 million in movie admission tickets.
moviegoers in the United States. Of these, about
25 7
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were ages 16–24. Find the approximate number of About 10 of this amount was for R-rated movies.
moviegoers in that year who were ages 16–24. Find the amount of money received from R-rated
(Source: Motion Picture Association of America) movies. (Source: Motion Picture Association of
America)