George and Archie had $158 and $86 respectively. Each of them bought a skirt and a sweater at the same price. The cost of the skirt was 3 times as much as the sweater. In the end, George had 5 times as much money as Archie. What was the difference between the cost of the sweater and the skirt?
|
George |
Archie |
Difference |
Before |
$158 |
$86 |
$72 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since George and Archie 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 = 158 - 86
4 u = 72
1 u = 72 ÷ 4 = 18
Cost of 1 skirt = 3 p
Cost of 1 sweater = 1 p
Total cost of 1 skirt and 1 sweater
= 3 p + 1 p
= 4 p
4 p = 86 - 18
4 p = 68
1 p = 68 ÷ 4 = 17
Difference in the cost between the skirt and the sweater
= 3 p - 1 p
= 2 p
= 2 x 17
= $34
Answer(s): $34