The ratio of David's to Mark's money is 3 : 10. The ratio of Mark's to Japheth's money is 3 : 4. If David has $144, how much more does Japheth have than Mark?
| David |
Mark |
Japheth |
| 3x3 |
10x3 |
|
| |
3x10 |
4x10 |
| 9 u |
30 u |
40 u |
The amount that Mark has is the repeated identity.
Use LCM to make it the same.
LCM of 10 and 3 = 30
Amount that David has = 9 u
9 u = 144
1 u = 144 ÷ 9 = 16
Amount that Japheth has more than Mark
= 40 u - 30 u
= 10 u
= 10 x 16
= $160
Answer(s): $160
