David and Gabriel had $192 and $156 respectively. Each of them bought a blouse and a hoodie at the same price. The cost of the blouse was 5 times as much as the hoodie. In the end, David had 4 times as much money as Gabriel. What was the difference between the cost of the hoodie and the blouse?
|
David |
Gabriel |
Difference |
Before |
$192 |
$156 |
$36 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since David and Gabriel bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 192 - 156
3 u = 36
1 u = 36 ÷ 3 = 12
Cost of 1 blouse = 5 p
Cost of 1 hoodie = 1 p
Total cost of 1 blouse and 1 hoodie
= 5 p + 1 p
= 6 p
6 p = 156 - 12
6 p = 144
1 p = 144 ÷ 6 = 24
Difference in the cost between the blouse and the hoodie
= 5 p - 1 p
= 4 p
= 4 x 24
= $96
Answer(s): $96