Ivan and John had $150 and $82 respectively. Each of them bought a hoodie and a skirt at the same price. The cost of the hoodie was 4 times as much as the skirt. In the end, Ivan had 5 times as much money as John. What was the difference between the cost of the skirt and the hoodie?
|
Ivan |
John |
Difference |
Before |
$150 |
$82 |
$68 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Ivan 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 = 150 - 82
4 u = 68
1 u = 68 ÷ 4 = 17
Cost of 1 hoodie = 4 p
Cost of 1 skirt = 1 p
Total cost of 1 hoodie and 1 skirt
= 4 p + 1 p
= 5 p
5 p = 82 - 17
5 p = 65
1 p = 65 ÷ 5 = 13
Difference in the cost between the hoodie and the skirt
= 4 p - 1 p
= 3 p
= 3 x 13
= $39
Answer(s): $39