Luke had $348 and Zane had $158 at first. Each of them bought an identical blouse and an identical jacket from the same shop. The jacket cost 2 times as much as the blouse. In the end, Luke had 3 times as much money as Zane. What was the cost of the blouse?
| |
Luke |
Zane |
Difference |
| Before |
$348 |
$158 |
$190 |
| Change |
- 1 blouse
- 1 jacket |
- 1 blouse
- 1 jacket |
|
| After |
3 u |
1 u |
2 u |
Since Luke and Zane 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 = 348 - 158
2 u = 190
1 u = 190 ÷ 2 = 95
Amount that Zane had in the end
= 1 u
= $95
Cost of 1 blouse and 1 jacket
= 158 - 1 u
= 158 - 95
= $63
The jacket cost 2 times as much as the blouse.
Cost of 1 blouse = 1 p
Cost of 1 jacket = 2 p
Total cost of 1 blouse and 1 jacket
= 1 p + 2 p
= 3 p
3 p = 63
1 p = 63 ÷ 3 = 21
Cost of the blouse
= 1 p
= $21
Answer(s): $21
