Ethan and Fred had $100 and $64 respectively. Each of them bought a jacket and a hoodie at the same price. The cost of the jacket was 3 times as much as the hoodie. In the end, Ethan had 4 times as much money as Fred. What was the difference between the cost of the hoodie and the jacket?
|
Ethan |
Fred |
Difference |
Before |
$100 |
$64 |
$36 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Ethan and Fred 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 = 100 - 64
3 u = 36
1 u = 36 ÷ 3 = 12
Cost of 1 jacket = 3 p
Cost of 1 hoodie = 1 p
Total cost of 1 jacket and 1 hoodie
= 3 p + 1 p
= 4 p
4 p = 64 - 12
4 p = 52
1 p = 52 ÷ 4 = 13
Difference in the cost between the jacket and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 13
= $26
Answer(s): $26