Oliver had four times as much money as Michael. After Oliver had spent $66, Michael had thrice as much money as Oliver. How much more money than Michael had Oliver at first?
| |
Oliver |
Michael |
More |
Before
|
4x3 =
12 u |
1x3 =
3 u |
9 u |
| Change |
- $66 |
|
|
| After |
1 u |
3 u |
|
The amount that Michael had remains unchanged. Make the amount that Michael had the same. LCM of 1 and 3 is 3.
Amount that Mark had in the end = 1 u
12 u - 66 = 1 u
12 u - 1 u = 66
11 u = 66
1 u = 66 ÷ 11 = 6
Amount that Michael had more than Oliver at first
= 12 u - 3 u
= 9 u
= 9 x 6
= $54
Answer(s): $54
