Question

Alice, Bernice, and Cheryl shared some stamps in the ratio 8:9:18. Alice received 184 stamps. Find the number of stamps that Bernice and Chery each re

Equations and inequalities
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asked 2021-04-24
Alice, Bernice, and Cheryl shared some stamps in the ratio 8:9:18. Alice received 184 stamps. Find the number of stamps that Bernice and Chery each received.

Answers (1)

2021-04-26
Let x be the number of stamps Bernice received so we can write the proportion:
\(\displaystyle{\frac{{{8}}}{{{9}}}}={\frac{{{184}}}{{{x}}}}\)
Cross multiply:
\(\displaystyle{8}{x}={184}{\left({9}\right)}\)
\(\displaystyle{8}{x}={1656}\)
\(\displaystyle{x}={207}\)
So, Bernice received 207 stamps.
Let y be the number of stamps Cheryl received so we can write the proportion:
\(\displaystyle{\frac{{{8}}}{{{18}}}}={\frac{{{184}}}{{{y}}}}\)
Cross multiply:
\(\displaystyle{8}{y}={184}{\left({18}\right)}\)
\(\displaystyle{8}{y}={3312}\)
\(\displaystyle{y}={414}\)
So, Cheryl received 414 stamps.
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