Question

Translate the question to a proportion. Do not solve. Use the letter “a” if the unknown number is the amount, the letter “b” if the unknown is the base, and “p” if the unknown is the percent. The proportion is ?

Answer 1

Given:

The objective is to find 76% of what number is 86.

Explanation:

The general proportion acn be written as,

$\frac{\text{Amount}}{\text{Base}}=\frac{\text{ percent}}{100}$

Consider the unknown number as x.

Then the given statement can be written as,

$\begin{gathered} \frac{76}{100}x=86 \\ \frac{86}{x}=\frac{76}{100} \end{gathered}$

By comparing the general proportion and the given proportion, the missing term x represents the base.

Since, it is mentioned that base must be indicated with letter b, replace the missing term x as b.