The ratio of Luis's to Elijah's money is 5 : 3. The ratio of Elijah's to Michael's money is 4 : 5. If Luis has $280, how much more does Michael have than Elijah?
| Luis |
Elijah |
Michael |
| 5x4 |
3x4 |
|
| |
4x3 |
5x3 |
| 20 u |
12 u |
15 u |
The amount that Elijah has is the repeated identity.
Use LCM to make it the same.
LCM of 3 and 4 = 12
Amount that Luis has = 20 u
20 u = 280
1 u = 280 ÷ 20 = 14
Amount that Michael has more than Elijah
= 15 u - 12 u
= 3 u
= 3 x 14
= $42
Answer(s): $42
