Question

3 kids are splitting up 192 pieces of candy. Jeff will get 3/4 of what Gabe gets, and Sadie will get three times as much as Jeff how many pieces of candy does each kid get?

Answer 1

First define your variables in terms of one variable.

J = amount of candy for Jeff = 3/4G
G = amount of candy for Gabe 
S = amount of candy for Sadie = 3J = 3(3/4G)=9/4G

Create an equation. J + G + S = 192
Substitute. 3/4G + G + 9/4G = 192
Clean up. 12/4G+G=192
3G+G=192
4G = 192
G=48

Find the other values.
G = 48
S = 9/4G = 9/4(48) = 108
J = 3/4G = 3/4(48) = 36