Question

Sophia and Isabella share a reward of $117 in a ratio of 1 : 8. What fraction of the total reward does Sophia get?

Answer 1

She gets 1/9 of the $117, or $13, while Isabella gets the other $104.

This holds to the ratio as $13 is 1/8 of $104.

Answer 2

Fraction of Sophia = $ 13.

Explanation:

Given :Sophia and Isabella share a reward of $117 in a ratio of 1 : 8.

To find : What fraction of the total reward does Sophia get.

Solution : We have given

Sophia and Isabella share a reward of $117 in a ratio of 1 : 8.

Total part = 1+ 8 = 9.

Sophia share = 1 out of $117.

Isabella share = 8 out of $117.

Fraction of Sophia =
`(1)/(9)*117`.

Fraction of Sophia = $ 13.

Fraction of Isabella =
`(8)/(9)*117`.

fraction of Isabella = $104

Total $ 104 + $ 13 = $ 117.

Therefore, Fraction of Sophia = $ 13.