Warren had $271 and Japheth had $177 at first. Each of them bought an identical sweater and an identical skirt from the same shop. The skirt cost 4 times as much as the sweater. In the end, Warren had 3 times as much money as Japheth. What was the cost of the sweater?
|
Warren |
Japheth |
Difference |
Before |
$271 |
$177 |
$94 |
Change |
- 1 sweater - 1 skirt |
- 1 sweater - 1 skirt |
|
After |
3 u |
1 u |
2 u |
Since Warren and Japheth bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 3 u - 1 u
= 2 u
2 u = 271 - 177
2 u = 94
1 u = 94 ÷ 2 = 47
Amount that Japheth had in the end
= 1 u
= $47
Cost of 1 sweater and 1 skirt
= 177 - 1 u
= 177 - 47
= $130
The skirt cost 4 times as much as the sweater.
Cost of 1 sweater = 1 p
Cost of 1 skirt = 4 p
Total cost of 1 sweater and 1 skirt
= 1 p + 4 p
= 5 p
5 p = 130
1 p = 130 ÷ 5 = 26
Cost of the sweater
= 1 p
= $26
Answer(s): $26