Question

find the number by determining part and whole.a) 2/9 of a number is 8b) 3/11 of a number is 12

Answer 1

$a)36$

Explanation

Step 1

let x represents the number so

a) 2/9 of a number is 8

$\begin{gathered} \frac{2}{9}x=8 \\ \text{then, to isolate x multiply both sides by }\frac{9}{2} \\ \frac{2}{9}x\cdot\frac{9}{2}=8\cdot\frac{9}{2} \\ \frac{18}{18}x=\frac{72}{2} \\ x=36 \end{gathered}$

so, the numer is 36

Step 2

b) 3/11 of a number is 12​

$\begin{gathered} \frac{3}{11}x=12 \\ \text{Multiply both sides by }\frac{11}{3} \\ \frac{3}{11}x\cdot\frac{11}{3}=12\cdot\frac{11}{3} \\ \frac{33}{33}x=\frac{132}{3} \\ x=44 \end{gathered}$

so, the number is 44