Vaidev had $293 and Seth had $127 at first. Each of them bought an identical blouse and an identical jacket from the same shop. The jacket cost 3 times as much as the blouse. In the end, Vaidev had 3 times as much money as Seth. What was the cost of the blouse?
| |
Vaidev |
Seth |
Difference |
| Before |
$293 |
$127 |
$166 |
| Change |
- 1 blouse
- 1 jacket |
- 1 blouse
- 1 jacket |
|
| After |
3 u |
1 u |
2 u |
Since Vaidev and Seth 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 = 293 - 127
2 u = 166
1 u = 166 ÷ 2 = 83
Amount that Seth had in the end
= 1 u
= $83
Cost of 1 blouse and 1 jacket
= 127 - 1 u
= 127 - 83
= $44
The jacket cost 3 times as much as the blouse.
Cost of 1 blouse = 1 p
Cost of 1 jacket = 3 p
Total cost of 1 blouse and 1 jacket
= 1 p + 3 p
= 4 p
4 p = 44
1 p = 44 ÷ 4 = 11
Cost of the blouse
= 1 p
= $11
Answer(s): $11
