At first, Xavier had $124 and Michael had $84. Each of them bought a sweater at the same price. Xavier now has three times as much money as Michael. How much did each of them pay for the sweater?
| |
Xavier |
Michael |
Difference |
| Before |
$124 |
$84 |
$40 |
| Change |
- ? |
- ? |
|
| After |
3 u |
1 u |
2 u |
Since Xavier and Michael each bought a sweater at the same price, the difference in the amounts each had remains the same.
Difference in the amounts between Xavier and Michael
= 3 u - 1 u
= 2 u
2 u = 124 - 84
2 u = 40
1 u = 40 ÷ 2 = 20
Amount that each of them paid for the sweater
= 84 - 20
= $64
Answer(s): $64
