Bryan and Ahmad had $140 and $80 respectively. Each of them bought a hoodie and a shirt at the same price. The cost of the hoodie was 4 times as much as the shirt. In the end, Bryan had 5 times as much money as Ahmad. What was the difference between the cost of the shirt and the hoodie?
|
Bryan |
Ahmad |
Difference |
Before |
$140 |
$80 |
$60 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Bryan and Ahmad 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 = 140 - 80
4 u = 60
1 u = 60 ÷ 4 = 15
Cost of 1 hoodie = 4 p
Cost of 1 shirt = 1 p
Total cost of 1 hoodie and 1 shirt
= 4 p + 1 p
= 5 p
5 p = 80 - 15
5 p = 65
1 p = 65 ÷ 5 = 13
Difference in the cost between the hoodie and the shirt
= 4 p - 1 p
= 3 p
= 3 x 13
= $39
Answer(s): $39