Tim and George had $135 and $125 respectively. Each of them bought a skirt and a hoodie at the same price. The cost of the skirt was 4 times as much as the hoodie. In the end, Tim had 3 times as much money as George. What was the difference between the cost of the hoodie and the skirt?
|
Tim |
George |
Difference |
Before |
$135 |
$125 |
$10 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Tim and George 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 = 135 - 125
2 u = 10
1 u = 10 ÷ 2 = 5
Cost of 1 skirt = 4 p
Cost of 1 hoodie = 1 p
Total cost of 1 skirt and 1 hoodie
= 4 p + 1 p
= 5 p
5 p = 125 - 5
5 p = 120
1 p = 120 ÷ 5 = 24
Difference in the cost between the skirt and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 24
= $72
Answer(s): $72