Vincent had nine times as much money as Billy. After Vincent had spent $105, Billy had four times as much money as Vincent. How much more money than Billy had Vincent at first?
| |
Vincent |
Billy |
More |
Before
|
9x4 =
36 u |
1x4 =
4 u |
32 u |
| Change |
- $105 |
|
|
| After |
1 u |
4 u |
|
The amount that Billy had remains unchanged. Make the amount that Billy had the same. LCM of 1 and 4 is 4.
Amount that Mark had in the end = 1 u
36 u - 105 = 1 u
36 u - 1 u = 105
35 u = 105
1 u = 105 ÷ 35 = 3
Amount that Billy had more than Vincent at first
= 36 u - 4 u
= 32 u
= 32 x 3
= $96
Answer(s): $96
