The ratio of Michael's to Cole's money is 5 : 6. The ratio of Cole's to Luke's money is 4 : 5. If Michael has $120, how much more does Luke have than Cole?
| Michael |
Cole |
Luke |
| 5x2 |
6x2 |
|
| |
4x3 |
5x3 |
| 10 u |
12 u |
15 u |
The amount that Cole has is the repeated identity.
Use LCM to make it the same.
LCM of 6 and 4 = 12
Amount that Michael has = 10 u
10 u = 120
1 u = 120 ÷ 10 = 12
Amount that Luke has more than Cole
= 15 u - 12 u
= 3 u
= 3 x 12
= $36
Answer(s): $36
