Ian had $315 and Wesley had $115 at first. Each of them bought an identical sweater and an identical blazer from the same shop. The blazer cost 2 times as much as the sweater. In the end, Ian had 3 times as much money as Wesley. What was the cost of the sweater?
| |
Ian |
Wesley |
Difference |
| Before |
$315 |
$115 |
$200 |
| Change |
- 1 sweater
- 1 blazer |
- 1 sweater
- 1 blazer |
|
| After |
3 u |
1 u |
2 u |
Since Ian and Wesley 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 = 315 - 115
2 u = 200
1 u = 200 ÷ 2 = 100
Amount that Wesley had in the end
= 1 u
= $100
Cost of 1 sweater and 1 blazer
= 115 - 1 u
= 115 - 100
= $15
The blazer cost 2 times as much as the sweater.
Cost of 1 sweater = 1 p
Cost of 1 blazer = 2 p
Total cost of 1 sweater and 1 blazer
= 1 p + 2 p
= 3 p
3 p = 15
1 p = 15 ÷ 3 = 5
Cost of the sweater
= 1 p
= $5
Answer(s): $5
