Flynn had $219 and Ivan had $101 at first. Each of them bought an identical blouse and an identical blazer from the same shop. The blazer cost 5 times as much as the blouse. In the end, Flynn had 3 times as much money as Ivan. What was the cost of the blouse?
| |
Flynn |
Ivan |
Difference |
| Before |
$219 |
$101 |
$118 |
| Change |
- 1 blouse
- 1 blazer |
- 1 blouse
- 1 blazer |
|
| After |
3 u |
1 u |
2 u |
Since Flynn and Ivan 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 = 219 - 101
2 u = 118
1 u = 118 ÷ 2 = 59
Amount that Ivan had in the end
= 1 u
= $59
Cost of 1 blouse and 1 blazer
= 101 - 1 u
= 101 - 59
= $42
The blazer cost 5 times as much as the blouse.
Cost of 1 blouse = 1 p
Cost of 1 blazer = 5 p
Total cost of 1 blouse and 1 blazer
= 1 p + 5 p
= 6 p
6 p = 42
1 p = 42 ÷ 6 = 7
Cost of the blouse
= 1 p
= $7
Answer(s): $7
