Question

Fill in the missing value in the given equivalent ratios 8:5= ___:20

Answer 1

Let the missing value be k

The given equivalent ratios is

`8\colon5=k\colon20`

The ratios can be written as

`(8)/(5)=(k)/(20)`

To find k, crossmultiply

`\begin{gathered} (8)/(5)=(k)/(20) \\ \text{Crossmultiply} \\ 8*20=k*5 \\ 160=5k \\ \text{Divide both sides by 5} \\ (5k)/(5)=(160)/(5) \\ k=32 \end{gathered}`

Hence, the missing value, k, is 32