The ratio of Oliver's to Paul's money is 8 : 9. The ratio of Paul's to Japheth's money is 4 : 5. If Oliver has $480, how much less does Paul have than Japheth?
| Oliver |
Paul |
Japheth |
| 8x4 |
9x4 |
|
| |
4x9 |
5x9 |
| 32 u |
36 u |
45 u |
The amount that Paul has is the repeated identity.
Use LCM to make it the same.
LCM of 9 and 4 = 36
Amount that Oliver has = 32 u
32 u = 480
1 u = 480 ÷ 32 = 15
Amount that Paul has less than Japheth
= 45 u - 36 u
= 9 u
= 9 x 15
= $135
Answer(s): $135
