Page 497 - Basic College Mathematics with Early Integers

6.4 Exercise Set FOR EXTRA HELP

Objective Solve. For Exercises 1 and 2, the solutions have been started for you. See Examples 1 through 4. If
necessary, round percents to the nearest tenth and all other answers to the nearest whole.

1. An inspector found 24 defective bolts during an 2. A day care worker found 28 children absent one day
inspection. If this is 1.5% of the total number of during an epidemic of chicken pox. If this was 35% of
bolts inspected, how many bolts were inspected? the total number of children attending the day care
center, how many children attend this day care
center?
Start the solution:
1. UNDERSTAND the problem. Reread it as many Start the solution:
times as needed. 1. UNDERSTAND the problem. Reread it as many
times as needed.
Go to Method 1 or Method 2.
Go to Method 1 or Method 2.
Method 1.
2. TRANSLATE into an equation. (Fill in the boxes.) Method 1.
24 is 1.5% of what number? 2. TRANSLATE into an equation. (Fill in the boxes.)
('')''*
28 is 35% of what number?
T T T T T ('')''*
24 1.5% n T T T T T
28 35% n
3. SOLVE for n. (See Example 3, Method 1, for help.)
4. INTERPRET.The total number of bolts inspected 3. SOLVE for n. (See Example 3, Method 1, for help.)
was _________. 4. INTERPRET.The total number of children
attending the day care center is _________.
Method 2.
2. TRANSLATE into a proportion. (Fill in the Method 2.
blanks with “amount” or “base.”)
2. TRANSLATE into a proportion. (Fill in the
24 is 1.5% of what number? blanks with “amount” or “base.”)
('')''*
T T 28 is 35% of what number?
('')''*
Î
________ percent ________ T Î T
________ percent ________
amount : 1.5 ; percent
=
base : 100 amount : 35 ; percent
3. SOLVE the proportion. (See Example 3, Method 2, base : = 100
for help.)
3. SOLVE the proportion. (See Example 3, Method 2,
4. INTERPRET.The total number of bolts inspected
for help.)
was _________.
4. INTERPRET.The total number of children
attending the day care center is _________.
®
3. The Total Gym provides weight resistance 4. The maximum weight resistance for the Total Gym is
through adjustments of incline.The minimum 60% of the weight of the person using it. Find the
weight resistance is 4% of the weight of the person maximum weight resistance possible for a 220-pound
using the Total Gym. Find the minimum weight man. (See Exercise 3 if needed.)
resistance possible for a 220-pound man.
(Source: Total Gym)
5. A student’s cost for last semester at her community 6. Pierre Sampeau belongs to his local food cooperative,
college was $2700. She spent $378 of that on books. where he receives a percentage of what he spends Copyright 2012 Pearson Education, Inc.
What percent of last semester’s college costs was each year as a dividend. He spent $3850 last year at
spent on books? the food cooperative store and received a dividend of
$154.What percent of his total spending at the food
cooperative did he receive as a dividend?
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