Question

Tom and chuck share a reward of $234 in a ratio of 3:6. What fraction of the the total reward does Tom get?

Answer 1

Answer:

1/3

Step-by-step explanation:

so the ratio is 3:6

there are 9 total parts

divide 234 by 9 and you get 26

there are $26 per part

multiply 26 by 3 to get Tom's reward, which is 78

multiply 26 by 6 to get Chuck's reward, which is 156

the fraction of the total reward that Tom gets is 78/234 (this is Tom's $ over total)

simplify and get 1/3

Answer 2

Answer:

$78

Step-by-step explanation:

Sum the parts of the ratio, 3 + 6 = 9 parts

Divide the reward by 9 to find the value of one part of the ratio.

$\frac{234}{9}$ = $26 ← 1 part of the ratio

Tom receives 3 parts, hence

3 × $26 = $78 ← Tom's share of the reward which is $\frac{3}{9}$ = $\frac{1}{3}$ of the reward