Flynn and Billy had $152 and $119 respectively. Each of them bought a hoodie and a jacket at the same price. The cost of the hoodie was 3 times as much as the jacket. In the end, Flynn had 4 times as much money as Billy. What was the difference between the cost of the jacket and the hoodie?
|
Flynn |
Billy |
Difference |
Before |
$152 |
$119 |
$33 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Flynn and Billy bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 152 - 119
3 u = 33
1 u = 33 ÷ 3 = 11
Cost of 1 hoodie = 3 p
Cost of 1 jacket = 1 p
Total cost of 1 hoodie and 1 jacket
= 3 p + 1 p
= 4 p
4 p = 119 - 11
4 p = 108
1 p = 108 ÷ 4 = 27
Difference in the cost between the hoodie and the jacket
= 3 p - 1 p
= 2 p
= 2 x 27
= $54
Answer(s): $54