Glen had $279 and Oscar had $135 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, Glen had 5 times as much money as Oscar. What was the cost of the skirt?
| |
Glen |
Oscar |
Difference |
| Before |
$279 |
$135 |
$144 |
| Change |
- 1 skirt
- 1 windbreaker |
- 1 skirt
- 1 windbreaker |
|
| After |
5 u |
1 u |
4 u |
Since Glen and Oscar bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 5 u - 1 u
= 4 u
4 u = 279 - 135
4 u = 144
1 u = 144 ÷ 4 = 36
Amount that Oscar had in the end
= 1 u
= $36
Cost of 1 skirt and 1 windbreaker
= 135 - 1 u
= 135 - 36
= $99
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 = 99
1 p = 99 ÷ 3 = 33
Cost of the skirt
= 1 p
= $33
Answer(s): $33
