Will had $219 and Jeremy had $199 at first. Each of them bought an identical skirt and an identical windbreaker from the same shop. The windbreaker cost 2 times as much as the skirt. In the end, Will had 3 times as much money as Jeremy. What was the cost of the skirt?
|
Will |
Jeremy |
Difference |
Before |
$219 |
$199 |
$20 |
Change |
- 1 skirt - 1 windbreaker |
- 1 skirt - 1 windbreaker |
|
After |
3 u |
1 u |
2 u |
Since Will and Jeremy 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 = 219 - 199
2 u = 20
1 u = 20 ÷ 2 = 10
Amount that Jeremy had in the end
= 1 u
= $10
Cost of 1 skirt and 1 windbreaker
= 199 - 1 u
= 199 - 10
= $189
The windbreaker cost 2 times as much as the skirt.
Cost of 1 skirt = 1 p
Cost of 1 windbreaker = 2 p
Total cost of 1 skirt and 1 windbreaker
= 1 p + 2 p
= 3 p
3 p = 189
1 p = 189 ÷ 3 = 63
Cost of the skirt
= 1 p
= $63
Answer(s): $63