Chapter 2.9, Problem 2STP

For Exercises $1-5,$ choose the correct letter.

$60\%$ of a number is 66. Which proportion best represents this relationship?

F. $\frac{66}{b}=\frac{60}{100}$

G. $\frac{a}{66}=\frac{60}{100}$

H. $\frac{60}{b}=\frac{66}{100}$

$\frac{60}{66}=\frac{b}{100}$

To determine

To choose a correct letter for $60\%$ of a number is $66$ ? from $F.\frac{66}{b}=\frac{60}{100}G.\frac{a}{66}=\frac{60}{100}H.\frac{60}{b}=\frac{66}{100}$

Answer to Problem 2STP

The correct letter is $F$ .

Explanation of Solution

Given information :

Given $60\%$ of a number is $66$ and

  $F.\frac{66}{b}=\frac{60}{100}G.\frac{a}{66}=\frac{60}{100}H.\frac{60}{b}=\frac{66}{100}$

As given $60\%$ of a number is $66$

let $b$ be the required number.

  $60\%$ of a number is $66$

  $\begin{array}{l}\Rightarrow 60\%\times b=66\\ \Rightarrow \frac{60}{100}\times b=66\\ \Rightarrow \frac{60}{100}=\frac{66}{b}\\ \therefore \frac{66}{b}=\frac{60}{100}\end{array}$

Hence, the correct letter is $F$ .