Sam and Bryan had $156 and $128 respectively. Each of them bought a skirt and a cardigan at the same price. The cost of the skirt was 5 times as much as the cardigan. In the end, Sam had 3 times as much money as Bryan. What was the difference between the cost of the cardigan and the skirt?
|
Sam |
Bryan |
Difference |
Before |
$156 |
$128 |
$28 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Sam and Bryan 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 = 156 - 128
2 u = 28
1 u = 28 ÷ 2 = 14
Cost of 1 skirt = 5 p
Cost of 1 cardigan = 1 p
Total cost of 1 skirt and 1 cardigan
= 5 p + 1 p
= 6 p
6 p = 128 - 14
6 p = 114
1 p = 114 ÷ 6 = 19
Difference in the cost between the skirt and the cardigan
= 5 p - 1 p
= 4 p
= 4 x 19
= $76
Answer(s): $76