Flynn and Neave had $65 and $45 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, Flynn had 5 times as much money as Neave. What was the difference between the cost of the hoodie and the jacket?
|
Flynn |
Neave |
Difference |
Before |
$65 |
$45 |
$20 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Flynn and Neave 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 = 65 - 45
4 u = 20
1 u = 20 ÷ 4 = 5
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 = 45 - 5
4 p = 40
1 p = 40 ÷ 4 = 10
Difference in the cost between the jacket and the hoodie
= 3 p - 1 p
= 2 p
= 2 x 10
= $20
Answer(s): $20