Fabian and Warren had $195 and $147 respectively. Each of them bought a hoodie and a blouse at the same price. The cost of the hoodie was 4 times as much as the blouse. In the end, Fabian had 5 times as much money as Warren. What was the difference between the cost of the blouse and the hoodie?
|
Fabian |
Warren |
Difference |
Before |
$195 |
$147 |
$48 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Fabian and Warren 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 = 195 - 147
4 u = 48
1 u = 48 ÷ 4 = 12
Cost of 1 hoodie = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 hoodie and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 147 - 12
5 p = 135
1 p = 135 ÷ 5 = 27
Difference in the cost between the hoodie and the blouse
= 4 p - 1 p
= 3 p
= 3 x 27
= $81
Answer(s): $81