Carl and Tommy had $179 and $143 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, Carl had 3 times as much money as Tommy. What was the difference between the cost of the shirt and the skirt?
|
Carl |
Tommy |
Difference |
Before |
$179 |
$143 |
$36 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Carl and Tommy 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 = 179 - 143
2 u = 36
1 u = 36 ÷ 2 = 18
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 = 143 - 18
5 p = 125
1 p = 125 ÷ 5 = 25
Difference in the cost between the skirt and the shirt
= 4 p - 1 p
= 3 p
= 3 x 25
= $75
Answer(s): $75