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Chapter 1: Q16. (page 21)

Use the percent proportion to find the following number.

What percent of 48 is 30?

Short Answer

Expert verified

62.5% of 48 is 30.

Step by step solution

01

Step 1. Definition of percent.

Percent of a number is defined as the ratio of number and 100.

02

Step 2. Formula Used.

The ratio of part x of some number y is equal to the percent is written as.

xy=p100

03

Step 3. Find the percent proportion.

x = 30, y = 48 and percent = ?

xy鈥�=p100鈥�鈥�鈥�3048=p100鈥�crossmultiply30脳100=p脳483000=48p鈥�鈥�dividebothsideby330003=48p31000=16p鈥�鈥�dividebothsideby410004=16p4250=4p鈥�鈥�dividebothsideby22502=4p2125=2p鈥�鈥�dividebothsideby21252=2p21252=pp=1252p=62.5

Hence, 62.5 percent of 48 is 30.

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