Owen had $282 and Reggie had $198 at first. Each of them bought an identical skirt and an identical shirt from the same shop. The shirt cost 2 times as much as the skirt. In the end, Owen had 3 times as much money as Reggie. What was the cost of the skirt?
| |
Owen |
Reggie |
Difference |
| Before |
$282 |
$198 |
$84 |
| Change |
- 1 skirt
- 1 shirt |
- 1 skirt
- 1 shirt |
|
| After |
3 u |
1 u |
2 u |
Since Owen and Reggie 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 = 282 - 198
2 u = 84
1 u = 84 ÷ 2 = 42
Amount that Reggie had in the end
= 1 u
= $42
Cost of 1 skirt and 1 shirt
= 198 - 1 u
= 198 - 42
= $156
The shirt cost 2 times as much as the skirt.
Cost of 1 skirt = 1 p
Cost of 1 shirt = 2 p
Total cost of 1 skirt and 1 shirt
= 1 p + 2 p
= 3 p
3 p = 156
1 p = 156 ÷ 3 = 52
Cost of the skirt
= 1 p
= $52
Answer(s): $52
