Jenson and Tommy had $190 and $133 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, Jenson had 4 times as much money as Tommy. What was the difference between the cost of the blouse and the hoodie?
|
Jenson |
Tommy |
Difference |
Before |
$190 |
$133 |
$57 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Jenson and Tommy 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 = 190 - 133
3 u = 57
1 u = 57 ÷ 3 = 19
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 = 133 - 19
6 p = 114
1 p = 114 ÷ 6 = 19
Difference in the cost between the hoodie and the blouse
= 5 p - 1 p
= 4 p
= 4 x 19
= $76
Answer(s): $76