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 Cheryl each received.

What we know:

8 : 9 : 18 or 8/9/18

Alice = 184 stamps

Step 1.

Set up a ratio for Alice and Bernice

8 : 9 or 184 : X

This equation can be written like this: 8/9 = 184/x

Solve for X

X = 207 = Number of stamps received by Bernice

Step 2.

Set up a ratio for Cheryl

9 : 18 or 207 : Y

This equation can be written like this: 9/18 = 207/Y

Solve for Y

Y = 414 = Number of stamps received by Cheryl

207 Bernice

414 Cheryl