Flynn and Jack had $150 and $106 respectively. Each of them bought a shirt and a sweater at the same price. The cost of the shirt was 4 times as much as the sweater. In the end, Flynn had 5 times as much money as Jack. What was the difference between the cost of the sweater and the shirt?
|
Flynn |
Jack |
Difference |
Before |
$150 |
$106 |
$44 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Flynn and Jack bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
5 u - 1 u = 150 - 106
4 u = 44
1 u = 44 ÷ 4 = 11
Cost of 1 shirt = 4 p
Cost of 1 sweater = 1 p
Total cost of 1 shirt and 1 sweater
= 4 p + 1 p
= 5 p
5 p = 106 - 11
5 p = 95
1 p = 95 ÷ 5 = 19
Difference in the cost between the shirt and the sweater
= 4 p - 1 p
= 3 p
= 3 x 19
= $57
Answer(s): $57