At first, Riordan had $83 and Henry had $53. Each of them bought a sweater at the same price. Riordan now has three times as much money as Henry. How much did each of them pay for the sweater?
| |
Riordan |
Henry |
Difference |
| Before |
$83 |
$53 |
$30 |
| Change |
- ? |
- ? |
|
| After |
3 u |
1 u |
2 u |
Since Riordan and Henry each bought a sweater at the same price, the difference in the amounts each had remains the same.
Difference in the amounts between Riordan and Henry
= 3 u - 1 u
= 2 u
2 u = 83 - 53
2 u = 30
1 u = 30 ÷ 2 = 15
Amount that each of them paid for the sweater
= 53 - 15
= $38
Answer(s): $38
