The ratio of Reggie's to John's money is 5 : 8. The ratio of John's to Ken's money is 3 : 5. If Reggie has $165, how much less does John have than Ken?
Reggie |
John |
Ken |
5x3 |
8x3 |
|
|
3x8 |
5x8 |
15 u |
24 u |
40 u |
The amount that John has is the repeated identity.
Use LCM to make it the same.
LCM of 8 and 3 = 24
Amount that Reggie has = 15 u
15 u = 165
1 u = 165 ÷ 15 = 11
Amount that John has less than Ken
= 40 u - 24 u
= 16 u
= 16 x 11
= $176
Answer(s): $176