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Fundamentals of Mathematics, 2008a

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451<br />

7.7.3.2 Practice Set A<br />

Exercise 7.7.1 (Solution on p. 471.)<br />

What number is 42% <strong>of</strong> 85?<br />

Exercise 7.7.2 (Solution on p. 471.)<br />

A sales person makes a commission <strong>of</strong> 16% on each sale he makes. How much is his commission if<br />

he makes a sale <strong>of</strong> $8,500?<br />

Exercise 7.7.3 (Solution on p. 471.)<br />

An assembly line worker can assemble 14 parts <strong>of</strong> a product in one hour. If he can increase his<br />

assembly speed by 35%, by how many parts per hour would he increase his assembly <strong>of</strong> products?<br />

Exercise 7.7.4 (Solution on p. 471.)<br />

A computer scientist in the Silicon Valley makes $42,000 annually. What would this scientist's<br />

new annual salary be if she were to receive an 8% raise?<br />

7.7.4 Finding the Percent<br />

7.7.4.1 Sample Set B<br />

Example 7.42<br />

15<br />

↓<br />

is<br />

↓<br />

what percent<br />

} {{ }<br />

(percentage)<br />

↓<br />

=<br />

↓<br />

(percent)<br />

↓<br />

<strong>of</strong> 50?<br />

↓ ↓<br />

·<br />

↓<br />

(base)<br />

↓<br />

15 = Q · 50<br />

Missing factor statement.<br />

[(product) = (factor) · (factor)]<br />

Recall that (missing factor) = (product) ÷ (known factor).<br />

Q = 15 ÷ 50 Divide.<br />

Q = 0.3 Convert to a percent.<br />

Q = 30%<br />

Thus, 15 is 30% <strong>of</strong> 50.<br />

Do Section 7.7.4.2 (Practice Set B), Exercise 7.7.5.<br />

Example 7.43<br />

4.32<br />

↓<br />

(percentage)<br />

↓<br />

is<br />

↓<br />

what percent<br />

} {{ }<br />

=<br />

↓<br />

(percent)<br />

↓<br />

<strong>of</strong> 72?<br />

↓ ↓<br />

·<br />

↓<br />

(base)<br />

↓<br />

4.32 = Q · 72<br />

Missing factor statement.<br />

[(product) = (factor) · (factor)]<br />

Q = 4.32 ÷ 72 Divide.<br />

Q = 0.06 Convert to a percent.<br />

Q = 6%<br />

Thus, 4.32 is 6% <strong>of</strong> 72.<br />

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