The ratio of Liam's to Billy's money is 6 : 7. The ratio of Billy's to Fred's money is 3 : 5. If Liam has $270, how much less does Billy have than Fred?
| Liam |
Billy |
Fred |
| 6x3 |
7x3 |
|
| |
3x7 |
5x7 |
| 18 u |
21 u |
35 u |
The amount that Billy has is the repeated identity.
Use LCM to make it the same.
LCM of 7 and 3 = 21
Amount that Liam has = 18 u
18 u = 270
1 u = 270 ÷ 18 = 15
Amount that Billy has less than Fred
= 35 u - 21 u
= 14 u
= 14 x 15
= $210
Answer(s): $210
