Michael had five times as much money as Shannon. After Michael had given Shannon $126, they had an equal amount of money left. How much money did each of them have at first?
- Shannon
- Michael
|
Shannon |
Michael |
Before |
1 u |
5 u |
Change |
+ $126 |
- $126 |
After |
1 u + $126 |
5 u - $126 |
The amounts that Michael and Shannon had in the end are the same.
5 u - 126 = 1 u + 126
5 u - 1 u = 126 + 126
4 u = 252
1 u = 252 ÷ 4 = 63
Amount that Shannon had at first
= 1 u
= $63
Amount that Michael had at first
= 5 u
= 5 x 63
= $315
Answer(s): (a) $63; (b) $315