Liam had $281 and Eric had $194 at first. Each of them bought an identical skirt and an identical jacket from the same shop. The jacket cost 2 times as much as the skirt. In the end, Liam had 4 times as much money as Eric. What was the cost of the skirt?
| |
Liam |
Eric |
Difference |
| Before |
$281 |
$194 |
$87 |
| Change |
- 1 skirt
- 1 jacket |
- 1 skirt
- 1 jacket |
|
| After |
4 u |
1 u |
3 u |
Since Liam and Eric 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 = 281 - 194
3 u = 87
1 u = 87 ÷ 3 = 29
Amount that Eric had in the end
= 1 u
= $29
Cost of 1 skirt and 1 jacket
= 194 - 1 u
= 194 - 29
= $165
The jacket cost 2 times as much as the skirt.
Cost of 1 skirt = 1 p
Cost of 1 jacket = 2 p
Total cost of 1 skirt and 1 jacket
= 1 p + 2 p
= 3 p
3 p = 165
1 p = 165 ÷ 3 = 55
Cost of the skirt
= 1 p
= $55
Answer(s): $55
