The ratio of Ben's to Elijah's money is 8 : 9. The ratio of Elijah's to Eric's money is 4 : 5. If Ben has $512, how much less does Elijah have than Eric?
| Ben |
Elijah |
Eric |
| 8x4 |
9x4 |
|
| |
4x9 |
5x9 |
| 32 u |
36 u |
45 u |
The amount that Elijah has is the repeated identity.
Use LCM to make it the same.
LCM of 9 and 4 = 36
Amount that Ben has = 32 u
32 u = 512
1 u = 512 ÷ 32 = 16
Amount that Elijah has less than Eric
= 45 u - 36 u
= 9 u
= 9 x 16
= $144
Answer(s): $144
