Tim and John had $195 and $139 respectively. Each of them bought a cardigan and a hoodie at the same price. The cost of the cardigan was 4 times as much as the hoodie. In the end, Tim had 5 times as much money as John. What was the difference between the cost of the hoodie and the cardigan?
|
Tim |
John |
Difference |
Before |
$195 |
$139 |
$56 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Tim and John 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 = 195 - 139
4 u = 56
1 u = 56 ÷ 4 = 14
Cost of 1 cardigan = 4 p
Cost of 1 hoodie = 1 p
Total cost of 1 cardigan and 1 hoodie
= 4 p + 1 p
= 5 p
5 p = 139 - 14
5 p = 125
1 p = 125 ÷ 5 = 25
Difference in the cost between the cardigan and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 25
= $75
Answer(s): $75