Owen and Flynn had $165 and $145 respectively. Each of them bought a shirt and a jacket at the same price. The cost of the shirt was 4 times as much as the jacket. In the end, Owen had 5 times as much money as Flynn. What was the difference between the cost of the jacket and the shirt?
|
Owen |
Flynn |
Difference |
Before |
$165 |
$145 |
$20 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Owen and Flynn 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 = 165 - 145
4 u = 20
1 u = 20 ÷ 4 = 5
Cost of 1 shirt = 4 p
Cost of 1 jacket = 1 p
Total cost of 1 shirt and 1 jacket
= 4 p + 1 p
= 5 p
5 p = 145 - 5
5 p = 140
1 p = 140 ÷ 5 = 28
Difference in the cost between the shirt and the jacket
= 4 p - 1 p
= 3 p
= 3 x 28
= $84
Answer(s): $84