Oliver and Justin had $111 and $81 respectively. Each of them bought a shirt and a skirt at the same price. The cost of the shirt was 5 times as much as the skirt. In the end, Oliver had 3 times as much money as Justin. What was the difference between the cost of the skirt and the shirt?
|
Oliver |
Justin |
Difference |
Before |
$111 |
$81 |
$30 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Oliver and Justin bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
3 u - 1 u = 111 - 81
2 u = 30
1 u = 30 ÷ 2 = 15
Cost of 1 shirt = 5 p
Cost of 1 skirt = 1 p
Total cost of 1 shirt and 1 skirt
= 5 p + 1 p
= 6 p
6 p = 81 - 15
6 p = 66
1 p = 66 ÷ 6 = 11
Difference in the cost between the shirt and the skirt
= 5 p - 1 p
= 4 p
= 4 x 11
= $44
Answer(s): $44