The ratio of Ian's to Ivan's money is 3 : 10. The ratio of Ivan's to Gabriel's money is 4 : 5. If Ian has $102, how much more does Gabriel have than Ivan?
Ian |
Ivan |
Gabriel |
3x2 |
10x2 |
|
|
4x5 |
5x5 |
6 u |
20 u |
25 u |
The amount that Ivan has is the repeated identity.
Use LCM to make it the same.
LCM of 10 and 4 = 20
Amount that Ian has = 6 u
6 u = 102
1 u = 102 ÷ 6 = 17
Amount that Gabriel has more than Ivan
= 25 u - 20 u
= 5 u
= 5 x 17
= $85
Answer(s): $85