The ratio of Gabriel's to Howard's money is 4 : 7. The ratio of Howard's to Pierre's money is 3 : 5. If Gabriel has $120, how much less does Howard have than Pierre?
| Gabriel |
Howard |
Pierre |
| 4x3 |
7x3 |
|
| |
3x7 |
5x7 |
| 12 u |
21 u |
35 u |
The amount that Howard has is the repeated identity.
Use LCM to make it the same.
LCM of 7 and 3 = 21
Amount that Gabriel has = 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Amount that Howard has less than Pierre
= 35 u - 21 u
= 14 u
= 14 x 10
= $140
Answer(s): $140
