Julian had $339 and Henry had $139 at first. Each of them bought an identical skirt and an identical blouse from the same shop. The blouse cost 2 times as much as the skirt. In the end, Julian had 3 times as much money as Henry. What was the cost of the skirt?
|
Julian |
Henry |
Difference |
Before |
$339 |
$139 |
$200 |
Change |
- 1 skirt - 1 blouse |
- 1 skirt - 1 blouse |
|
After |
3 u |
1 u |
2 u |
Since Julian and Henry 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 = 339 - 139
2 u = 200
1 u = 200 ÷ 2 = 100
Amount that Henry had in the end
= 1 u
= $100
Cost of 1 skirt and 1 blouse
= 139 - 1 u
= 139 - 100
= $39
The blouse cost 2 times as much as the skirt.
Cost of 1 skirt = 1 p
Cost of 1 blouse = 2 p
Total cost of 1 skirt and 1 blouse
= 1 p + 2 p
= 3 p
3 p = 39
1 p = 39 ÷ 3 = 13
Cost of the skirt
= 1 p
= $13
Answer(s): $13