Xavier and Albert had $113 and $61 respectively. Each of them bought a jacket and a hoodie at the same price. The cost of the jacket was 3 times as much as the hoodie. In the end, Xavier had 5 times as much money as Albert. What was the difference between the cost of the hoodie and the jacket?
|
Xavier |
Albert |
Difference |
Before |
$113 |
$61 |
$52 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Xavier and Albert bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
5 u - 1 u = 113 - 61
4 u = 52
1 u = 52 ÷ 4 = 13
Cost of 1 jacket = 3 p
Cost of 1 hoodie = 1 p
Total cost of 1 jacket and 1 hoodie
= 3 p + 1 p
= 4 p
4 p = 61 - 13
4 p = 48
1 p = 48 ÷ 4 = 12
Difference in the cost between the jacket and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 12
= $24
Answer(s): $24