Chapter 7.3, Problem 46STP

To determine

To find: the required number

Answer to Problem 46STP

The required number is1632

Explanation of Solution

Given:

68 is 25% of a number

What is 600% of the number?

Calculation:

Let n represent the number

  $\begin{array}{l}\frac{68}{n}=\frac{25}{100}\text{ Write the percent proportion}\\ 68\times 100=25\times n\text{ Find the cross product}\\ \text{ 6800=25}n\text{ Multiply}\\ \frac{\text{6800}}{25}=\frac{25n}{25}\text{ Divide each side by 25}\text{.}\\ \text{ 272}=n\text{ Simplify}\end{array}$

So, 68 is 25% of 272.

Let m represent the part.

  $\begin{array}{l}\frac{m}{272}=\frac{600}{100}\text{ Write the percent proportion}\\ m\times 100=600\times 272\text{ Find the cross product}\\ \text{ 100}m\text{=163200 Multiply}\\ \frac{100m}{100}=\frac{163200}{100}\text{ Divide each side by 100}\text{.}\\ m=1632\text{ Simplify}\end{array}$

Conclusion:

Therefore, the required number is1632