The ratio of Sam's to Ahmad's money is 5 : 8. The ratio of Ahmad's to Tom's money is 3 : 4. If Sam has $180, how much more does Tom have than Ahmad?
| Sam |
Ahmad |
Tom |
| 5x3 |
8x3 |
|
| |
3x8 |
4x8 |
| 15 u |
24 u |
32 u |
The amount that Ahmad has is the repeated identity.
Use LCM to make it the same.
LCM of 8 and 3 = 24
Amount that Sam has = 15 u
15 u = 180
1 u = 180 ÷ 15 = 12
Amount that Tom has more than Ahmad
= 32 u - 24 u
= 8 u
= 8 x 12
= $96
Answer(s): $96
