The ratio of Howard's to Will's money is 3 : 10. The ratio of Will's to Ethan's money is 4 : 5. If Howard has $78, how much more does Ethan have than Will?
| Howard |
Will |
Ethan |
| 3x2 |
10x2 |
|
| |
4x5 |
5x5 |
| 6 u |
20 u |
25 u |
The amount that Will has is the repeated identity.
Use LCM to make it the same.
LCM of 10 and 4 = 20
Amount that Howard has = 6 u
6 u = 78
1 u = 78 ÷ 6 = 13
Amount that Ethan has more than Will
= 25 u - 20 u
= 5 u
= 5 x 13
= $65
Answer(s): $65
