Tommy and Seth had $114 and $58 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, Tommy had 5 times as much money as Seth. What was the difference between the cost of the hoodie and the jacket?
|
Tommy |
Seth |
Difference |
Before |
$114 |
$58 |
$56 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Tommy and Seth 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 = 114 - 58
4 u = 56
1 u = 56 ÷ 4 = 14
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 = 58 - 14
4 p = 44
1 p = 44 ÷ 4 = 11
Difference in the cost between the jacket and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 11
= $22
Answer(s): $22