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

Answer:

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

Step-by-step explanation:

Let

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

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

we know that

$\frac{x}{y}=\frac{1}{8}$

$x=\frac{1}{8}y$ ------> equation A

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

Substitute equation A in equation B

$\frac{1}{8}y+y=117$

$\frac{9}{8}y=117$

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

Find the value of x

$x=\frac{1}{8}(104)=\ 13$