Question

Sophia and isabella get a reward of 117 dollars ina ratio of 1:8.What fraction of the reward does sophia get?

Answer 1

The amount of reward that Sophia receives is
`\$13`

Explanation:

Let

x------> amount of reward that Sophia receives

y-----> amount of reward that Isabella receives

we know that

`(x)/(y)=(1)/(8)`

`x=(1)/(8)y` ------> equation A

`x+y=117` -----> equation B

Substitute equation A in equation B

`(1)/(8)y+y=117`

`(9)/(8)y=117`

`y=117*8/9=\$104`

Find the value of x

`x=(1)/(8)(104)=\$13`