Owen and Carl had $158 and $126 respectively. Each of them bought a hoodie and a shirt at the same price. The cost of the hoodie was 4 times as much as the shirt. In the end, Owen had 3 times as much money as Carl. What was the difference between the cost of the shirt and the hoodie?
|
Owen |
Carl |
Difference |
Before |
$158 |
$126 |
$32 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Owen and Carl bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
3 u - 1 u = 158 - 126
2 u = 32
1 u = 32 ÷ 2 = 16
Cost of 1 hoodie = 4 p
Cost of 1 shirt = 1 p
Total cost of 1 hoodie and 1 shirt
= 4 p + 1 p
= 5 p
5 p = 126 - 16
5 p = 110
1 p = 110 ÷ 5 = 22
Difference in the cost between the hoodie and the shirt
= 4 p - 1 p
= 3 p
= 3 x 22
= $66
Answer(s): $66