Ahmad and George had $183 and $145 respectively. Each of them bought a skirt and a hoodie at the same price. The cost of the skirt was 5 times as much as the hoodie. In the end, Ahmad had 3 times as much money as George. What was the difference between the cost of the hoodie and the skirt?
|
Ahmad |
George |
Difference |
Before |
$183 |
$145 |
$38 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Ahmad 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 = 183 - 145
2 u = 38
1 u = 38 ÷ 2 = 19
Cost of 1 skirt = 5 p
Cost of 1 hoodie = 1 p
Total cost of 1 skirt and 1 hoodie
= 5 p + 1 p
= 6 p
6 p = 145 - 19
6 p = 126
1 p = 126 ÷ 6 = 21
Difference in the cost between the skirt and the hoodie
= 5 p - 1 p
= 4 p
= 4 x 21
= $84
Answer(s): $84