The ratio of Seth's to Tom's money is 3 : 10. The ratio of Tom's to Vincent's money is 3 : 4. If Seth has $171, how much more does Vincent have than Tom?
| Seth |
Tom |
Vincent |
| 3x3 |
10x3 |
|
| |
3x10 |
4x10 |
| 9 u |
30 u |
40 u |
The amount that Tom has is the repeated identity.
Use LCM to make it the same.
LCM of 10 and 3 = 30
Amount that Seth has = 9 u
9 u = 171
1 u = 171 ÷ 9 = 19
Amount that Vincent has more than Tom
= 40 u - 30 u
= 10 u
= 10 x 19
= $190
Answer(s): $190
