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
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.

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:
$$\displaystyle{8}{x}={184}{\left({9}\right)}$$
$$\displaystyle{8}{x}={1656}$$
$$\displaystyle{x}={207}$$
$$\displaystyle{\frac{{{8}}}{{{18}}}}={\frac{{{184}}}{{{y}}}}$$
$$\displaystyle{8}{y}={184}{\left({18}\right)}$$
$$\displaystyle{8}{y}={3312}$$
$$\displaystyle{y}={414}$$