Page 401 - Basic College Mathematics with Early Integers

5.3 Exercise Set FOR EXTRA HELP

Objective Solve. For Exercises 1 and 2, the solutions have been started for you. See Examples 1 through 3.

An NBA basketball player averages 45 baskets for every 100 attempts.

1. If he attempted 800 field goals, how many field goals 2. If he made 225 baskets, how many did he attempt?
did he make?

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. Let’s let times as needed. Let’s let
n = how many field goals he made n = how many baskets attempted
2. TRANSLATE into an equation. 2. TRANSLATE into an equation.
baskets (field goals) : 45 n ; baskets (field goals) baskets : 45 225 ; baskets
= =
attempts : 100 800 ; attempts attempts : 100 n ; attempts
3. SOLVE the equation. Set cross products equal to 3. SOLVE the equation. Set cross products equal to
each other and solve. each other and solve.
45 n 45 225
æ æ = æ æ =
100 800 100 n

After SOLVING, then 4. INTERPRET. After SOLVING, then 4. INTERPRET.

It takes a word processor 30 minutes to word process and spell check 4 pages.

3. Find how long it takes her to word process and spell 4. Find how many pages she can word process and spell
check 22 pages. check in 4.5 hours.

University Law School accepts 2 out of every 7 applicants.

5. If the school accepted 180 students, find how many 6. If the school accepted 150 students, find how many
applications they received. applications they received.

On an architect’s blueprint, 1 inch corresponds to 8 feet.

7. Find the length of a wall represented by a line 8. Find the length of a wall represented by a line
7 1
2 inches long on the blueprint. 5 inches long on the blueprint.
8 4

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A human-factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every
student in the class.

9. Find the minimum floor space that 30 students 10. Due to a lack of space, a university converts a 21-by-
require. 15-foot conference room into a classroom. Find the
maximum number of students the room can
accommodate.
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