Bryan and Jeremy had $104 and $83 respectively. Each of them bought a sweater and a skirt at the same price. The cost of the sweater was 3 times as much as the skirt. In the end, Bryan had 4 times as much money as Jeremy. What was the difference between the cost of the skirt and the sweater?
|
Bryan |
Jeremy |
Difference |
Before |
$104 |
$83 |
$21 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Bryan and Jeremy 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 = 104 - 83
3 u = 21
1 u = 21 ÷ 3 = 7
Cost of 1 sweater = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 sweater and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 83 - 7
4 p = 76
1 p = 76 ÷ 4 = 19
Difference in the cost between the sweater and the skirt
= 3 p - 1 p
= 2 p
= 2 x 19
= $38
Answer(s): $38