The ratio of Jack's to Luke's money is 8 : 9. The ratio of Luke's to Seth's money is 4 : 5. If Jack has $384, how much more does Seth have than Luke?
| Jack |
Luke |
Seth |
| 8x4 |
9x4 |
|
| |
4x9 |
5x9 |
| 32 u |
36 u |
45 u |
The amount that Luke has is the repeated identity.
Use LCM to make it the same.
LCM of 9 and 4 = 36
Amount that Jack has = 32 u
32 u = 384
1 u = 384 ÷ 32 = 12
Amount that Seth has more than Luke
= 45 u - 36 u
= 9 u
= 9 x 12
= $108
Answer(s): $108
