Tommy and Jeremy had $139 and $113 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, Tommy had 3 times as much money as Jeremy. What was the difference between the cost of the shirt and the skirt?
|
Tommy |
Jeremy |
Difference |
Before |
$139 |
$113 |
$26 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Tommy and Jeremy 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 = 139 - 113
2 u = 26
1 u = 26 ÷ 2 = 13
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 = 113 - 13
5 p = 100
1 p = 100 ÷ 5 = 20
Difference in the cost between the skirt and the shirt
= 4 p - 1 p
= 3 p
= 3 x 20
= $60
Answer(s): $60