The ratio of John's to Vincent's money is 8 : 9. The ratio of Vincent's to Gabriel's money is 4 : 5. If John has $512, how much less does Vincent have than Gabriel?
| John |
Vincent |
Gabriel |
| 8x4 |
9x4 |
|
| |
4x9 |
5x9 |
| 32 u |
36 u |
45 u |
The amount that Vincent has is the repeated identity.
Use LCM to make it the same.
LCM of 9 and 4 = 36
Amount that John has = 32 u
32 u = 512
1 u = 512 ÷ 32 = 16
Amount that Vincent has less than Gabriel
= 45 u - 36 u
= 9 u
= 9 x 16
= $144
Answer(s): $144
