The ratio of Sam's to Zane's money is 3 : 7. The ratio of Zane's to Ethan's money is 3 : 4. If Sam has $108, how much more does Ethan have than Zane?
Sam |
Zane |
Ethan |
3x3 |
7x3 |
|
|
3x7 |
4x7 |
9 u |
21 u |
28 u |
The amount that Zane has is the repeated identity.
Use LCM to make it the same.
LCM of 7 and 3 = 21
Amount that Sam has = 9 u
9 u = 108
1 u = 108 ÷ 9 = 12
Amount that Ethan has more than Zane
= 28 u - 21 u
= 7 u
= 7 x 12
= $84
Answer(s): $84