The ratio of Liam's to Fred's money is 8 : 3. The ratio of Fred's to Ethan's money is 4 : 5. If Liam has $576, how much more does Ethan have than Fred?
| Liam |
Fred |
Ethan |
| 8x4 |
3x4 |
|
| |
4x3 |
5x3 |
| 32 u |
12 u |
15 u |
The amount that Fred has is the repeated identity.
Use LCM to make it the same.
LCM of 3 and 4 = 12
Amount that Liam has = 32 u
32 u = 576
1 u = 576 ÷ 32 = 18
Amount that Ethan has more than Fred
= 15 u - 12 u
= 3 u
= 3 x 18
= $54
Answer(s): $54
