Zeph and Justin had $124 and $97 respectively. Each of them bought a shirt and a hoodie at the same price. The cost of the shirt was 3 times as much as the hoodie. In the end, Zeph had 4 times as much money as Justin. What was the difference between the cost of the hoodie and the shirt?
|
Zeph |
Justin |
Difference |
Before |
$124 |
$97 |
$27 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Zeph and Justin 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 = 124 - 97
3 u = 27
1 u = 27 ÷ 3 = 9
Cost of 1 shirt = 3 p
Cost of 1 hoodie = 1 p
Total cost of 1 shirt and 1 hoodie
= 3 p + 1 p
= 4 p
4 p = 97 - 9
4 p = 88
1 p = 88 ÷ 4 = 22
Difference in the cost between the shirt and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 22
= $44
Answer(s): $44