Pierre and Elijah had $232 and $175 respectively. Each of them bought a sweater and a skirt at the same price. The cost of the sweater was 5 times as much as the skirt. In the end, Pierre had 4 times as much money as Elijah. What was the difference between the cost of the skirt and the sweater?
|
Pierre |
Elijah |
Difference |
Before |
$232 |
$175 |
$57 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Pierre and Elijah 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 = 232 - 175
3 u = 57
1 u = 57 ÷ 3 = 19
Cost of 1 sweater = 5 p
Cost of 1 skirt = 1 p
Total cost of 1 sweater and 1 skirt
= 5 p + 1 p
= 6 p
6 p = 175 - 19
6 p = 156
1 p = 156 ÷ 6 = 26
Difference in the cost between the sweater and the skirt
= 5 p - 1 p
= 4 p
= 4 x 26
= $104
Answer(s): $104