The ratio of Archie's to Zane's money is 3 : 4. The ratio of Zane's to George's money is 3 : 5. If Archie has $135, how much more does George have than Zane?
| Archie |
Zane |
George |
| 3x3 |
4x3 |
|
| |
3x4 |
5x4 |
| 9 u |
12 u |
20 u |
The amount that Zane has is the repeated identity.
Use LCM to make it the same.
LCM of 4 and 3 = 12
Amount that Archie has = 9 u
9 u = 135
1 u = 135 ÷ 9 = 15
Amount that George has more than Zane
= 20 u - 12 u
= 8 u
= 8 x 15
= $120
Answer(s): $120
