Flynn had $320 and Fred had $148 at first. Each of them bought an identical shirt and an identical windbreaker from the same shop. The windbreaker cost 2 times as much as the shirt. In the end, Flynn had 5 times as much money as Fred. What was the cost of the shirt?
|
Flynn |
Fred |
Difference |
Before |
$320 |
$148 |
$172 |
Change |
- 1 shirt - 1 windbreaker |
- 1 shirt - 1 windbreaker |
|
After |
5 u |
1 u |
4 u |
Since Flynn and Fred bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 5 u - 1 u
= 4 u
4 u = 320 - 148
4 u = 172
1 u = 172 ÷ 4 = 43
Amount that Fred had in the end
= 1 u
= $43
Cost of 1 shirt and 1 windbreaker
= 148 - 1 u
= 148 - 43
= $105
The windbreaker cost 2 times as much as the shirt.
Cost of 1 shirt = 1 p
Cost of 1 windbreaker = 2 p
Total cost of 1 shirt and 1 windbreaker
= 1 p + 2 p
= 3 p
3 p = 105
1 p = 105 ÷ 3 = 35
Cost of the shirt
= 1 p
= $35
Answer(s): $35