Ian and John had $125 and $81 respectively. Each of them bought a skirt and a shirt at the same price. The cost of the skirt was 4 times as much as the shirt. In the end, Ian had 5 times as much money as John. What was the difference between the cost of the shirt and the skirt?
|
Ian |
John |
Difference |
Before |
$125 |
$81 |
$44 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Ian 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 = 125 - 81
4 u = 44
1 u = 44 ÷ 4 = 11
Cost of 1 skirt = 4 p
Cost of 1 shirt = 1 p
Total cost of 1 skirt and 1 shirt
= 4 p + 1 p
= 5 p
5 p = 81 - 11
5 p = 70
1 p = 70 ÷ 5 = 14
Difference in the cost between the skirt and the shirt
= 4 p - 1 p
= 3 p
= 3 x 14
= $42
Answer(s): $42