Fred had $337 and Ken had $190 at first. Each of them bought an identical skirt and an identical sweater from the same shop. The sweater cost 2 times as much as the skirt. In the end, Fred had 4 times as much money as Ken. What was the cost of the skirt?
| |
Fred |
Ken |
Difference |
| Before |
$337 |
$190 |
$147 |
| Change |
- 1 skirt
- 1 sweater |
- 1 skirt
- 1 sweater |
|
| After |
4 u |
1 u |
3 u |
Since Fred and Ken bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 4 u - 1 u
= 3 u
3 u = 337 - 190
3 u = 147
1 u = 147 ÷ 3 = 49
Amount that Ken had in the end
= 1 u
= $49
Cost of 1 skirt and 1 sweater
= 190 - 1 u
= 190 - 49
= $141
The sweater cost 2 times as much as the skirt.
Cost of 1 skirt = 1 p
Cost of 1 sweater = 2 p
Total cost of 1 skirt and 1 sweater
= 1 p + 2 p
= 3 p
3 p = 141
1 p = 141 ÷ 3 = 47
Cost of the skirt
= 1 p
= $47
Answer(s): $47
