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`

Step-by-step explanation

Step 1

let x represents the number so

a) 2/9 of a number is 8

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

so, the numer is 36

Step 2

b) 3/11 of a number is 12​

`\begin{gathered} (3)/(11)x=12 \\ \text{Multiply both sides by }(11)/(3) \\ (3)/(11)x\cdot(11)/(3)=12\cdot(11)/(3) \\ (33)/(33)x=(132)/(3) \\ x=44 \end{gathered}`

so, the number is 44