Chapter 7.3, Problem 15PPS

To determine

To solve: the given problem by using the percent proportion

Answer to Problem 15PPS

The required answer is 166

Explanation of Solution

Given:

83% of 200

Calculation:

Let n represent the number.

  $\begin{array}{l}\frac{\text{n}}{\text{200}}\text{=}\frac{\text{83}}{\text{100}}\text{ Write the percent proportion}\\ \text{n×100=200×83 Find the cross product}\\ \text{100n=16600 Multiply}\\ \frac{\text{100n}}{\text{100}}\text{=}\frac{\text{16600}}{\text{100}}\text{ Divide each side by 100}\\ \text{n=166 Simplify}\end{array}$

So, 166 is 83% of 200

Conclusion:

Hence, 166 is 83% of 200.