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

Step 1. Definition of percent.

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

Step 2. Formula Used.

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

$\frac{x}{y} = \frac{p}{100}$

Step 3. Find the percent proportion.

x = 30, y = 48 and percent = ?

$\frac{x}{y} = \frac{p}{100} \frac{30}{48} = \frac{p}{100} [crossmultiply] 30 \times 100 = p \times 48 3000 = 48 p [dividebothsideby 3] \frac{3000}{3} = \frac{48 p}{3} 1000 = 16 p [dividebothsideby 4] \frac{1000}{4} = \frac{16 p}{4} 250 = 4 p [dividebothsideby 2] \frac{250}{2} = \frac{4 p}{2} 125 = 2 p [dividebothsideby 2] \frac{125}{2} = \frac{2 p}{2} \frac{125}{2} = p p = \frac{125}{2} p = 62.5$

Hence, 62.5 percent of 48 is 30.

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Use the percent proportion to find the following number.
What percent of 48 is 30?

Short Answer

Step by step solution

Step 1. Definition of percent.

Step 2. Formula Used.

Step 3. Find the percent proportion.

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Use the percent proportion to find the following number.What percent of 48 is 30?

Short Answer

Step by step solution

Step 1. Definition of percent.

Step 2. Formula Used.

Step 3. Find the percent proportion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Pure Maths

Applied Mathematics

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Use the percent proportion to find the following number.
What percent of 48 is 30?