Question

Oblem 9If 8 x 17 = 136, then 17 isI % of 136if 44 x 8 = 352, then 44 is% of 352

Answer 1

Let 'x' represents the missing number

a) x % of 136 = 17

`\begin{gathered} \text{where, }x\text{ \% =}\frac{\text{x}}{100} \\ (x)/(100)of136=17 \\ (x)/(100)*136=17 \\ (136x)/(100)=17 \\ 1.36x=17 \end{gathered}`

Divide both sides by 1.36

`\begin{gathered} (1.36x)/(1.36)=(17)/(1.36) \\ x=(25)/(2)=12.5 \\ \therefore x=12.5 \end{gathered}`

Hence, 17 is 12.5% of 136.

b) x% of 352 = 44

`\begin{gathered} \text{where, x\%=}\frac{\text{x}}{100} \\ (x)/(100)*352=44 \\ (352x)/(100)=44 \\ 3.52x=44 \end{gathered}`

Divide both sides by 3.52

`\begin{gathered} (3.52x)/(3.52)=(44)/(3.52) \\ x=12.5 \\ \therefore x=12.5 \end{gathered}`

Hence, 44 is 12.5% of 352.