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