Oscar and Zeph had $156 and $111 respectively. Each of them bought a hoodie and a shirt at the same price. The cost of the hoodie was 3 times as much as the shirt. In the end, Oscar had 4 times as much money as Zeph. What was the difference between the cost of the shirt and the hoodie?
|
Oscar |
Zeph |
Difference |
Before |
$156 |
$111 |
$45 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Oscar and Zeph 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 = 156 - 111
3 u = 45
1 u = 45 ÷ 3 = 15
Cost of 1 hoodie = 3 p
Cost of 1 shirt = 1 p
Total cost of 1 hoodie and 1 shirt
= 3 p + 1 p
= 4 p
4 p = 111 - 15
4 p = 96
1 p = 96 ÷ 4 = 24
Difference in the cost between the hoodie and the shirt
= 3 p - 1 p
= 2 p
= 2 x 24
= $48
Answer(s): $48