The ratio of Vincent's to Ethan's money is 7 : 6. The ratio of Ethan's to John's money is 3 : 5. If Vincent has $140, how much more does John have than Ethan?
| Vincent |
Ethan |
John |
| 7x1 |
6x1 |
|
| |
3x2 |
5x2 |
| 7 u |
6 u |
10 u |
The amount that Ethan has is the repeated identity.
Use LCM to make it the same.
LCM of 6 and 3 = 6
Amount that Vincent has = 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that John has more than Ethan
= 10 u - 6 u
= 4 u
= 4 x 20
= $80
Answer(s): $80
