The ratio of Liam's to Henry's money is 5 : 7. The ratio of Henry's to Seth's money is 3 : 5. If Liam has $150, how much less does Henry have than Seth?
| Liam |
Henry |
Seth |
| 5x3 |
7x3 |
|
| |
3x7 |
5x7 |
| 15 u |
21 u |
35 u |
The amount that Henry has is the repeated identity.
Use LCM to make it the same.
LCM of 7 and 3 = 21
Amount that Liam has = 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Amount that Henry has less than Seth
= 35 u - 21 u
= 14 u
= 14 x 10
= $140
Answer(s): $140
