Cody and Tim had $180 and $135 respectively. Each of them bought a jacket and a skirt at the same price. The cost of the jacket was 3 times as much as the skirt. In the end, Cody had 4 times as much money as Tim. What was the difference between the cost of the skirt and the jacket?
|
Cody |
Tim |
Difference |
Before |
$180 |
$135 |
$45 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Cody and Tim bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 180 - 135
3 u = 45
1 u = 45 ÷ 3 = 15
Cost of 1 jacket = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 jacket and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 135 - 15
4 p = 120
1 p = 120 ÷ 4 = 30
Difference in the cost between the jacket and the skirt
= 3 p - 1 p
= 2 p
= 2 x 30
= $60
Answer(s): $60