Question

A class consists of 1/3 freshmen, 1/6 sophomores, and 1/6 juniors; the rest are seniors. What fraction of the class is seniors?

Answer 1

1/3

Explanation

Step 1

let the entire class represents 1,so

class= freshmen +sophomores+junior+senior

replace

$\begin{gathered} 1=\frac{1}{3}+\frac{1}{6}+\frac{1}{6}+\text{senior} \\ 1=\frac{2}{3}+\text{senior} \\ \end{gathered}$

now, to solve the equaiton subtract 2/3 in both sides

$\begin{gathered} 1=\frac{2}{3}+\text{senior} \\ 1-\frac{2}{3}=\frac{2}{3}+\text{senior-}\frac{2}{3} \\ \frac{1}{3}=\text{senior} \end{gathered}$

it means 1/3 of the class is senior

I hope this helps you