The ratio of Luke's to Ken's money is 5 : 6. The ratio of Ken's to Gabriel's money is 3 : 5. If Luke has $90, how much less does Ken have than Gabriel?
| Luke |
Ken |
Gabriel |
| 5x1 |
6x1 |
|
| |
3x2 |
5x2 |
| 5 u |
6 u |
10 u |
The amount that Ken has is the repeated identity.
Use LCM to make it the same.
LCM of 6 and 3 = 6
Amount that Luke has = 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Amount that Ken has less than Gabriel
= 10 u - 6 u
= 4 u
= 4 x 18
= $72
Answer(s): $72
