Wesley and Fred had $192 and $168 respectively. Each of them bought a hoodie and a blouse at the same price. The cost of the hoodie was 5 times as much as the blouse. In the end, Wesley had 3 times as much money as Fred. What was the difference between the cost of the blouse and the hoodie?
|
Wesley |
Fred |
Difference |
Before |
$192 |
$168 |
$24 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Wesley and Fred 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 = 192 - 168
2 u = 24
1 u = 24 ÷ 2 = 12
Cost of 1 hoodie = 5 p
Cost of 1 blouse = 1 p
Total cost of 1 hoodie and 1 blouse
= 5 p + 1 p
= 6 p
6 p = 168 - 12
6 p = 156
1 p = 156 ÷ 6 = 26
Difference in the cost between the hoodie and the blouse
= 5 p - 1 p
= 4 p
= 4 x 26
= $104
Answer(s): $104