Riordan and Albert had $236 and $185 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, Riordan had 4 times as much money as Albert. What was the difference between the cost of the hoodie and the skirt?
|
Riordan |
Albert |
Difference |
Before |
$236 |
$185 |
$51 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Riordan and Albert 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 = 236 - 185
3 u = 51
1 u = 51 ÷ 3 = 17
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 = 185 - 17
6 p = 168
1 p = 168 ÷ 6 = 28
Difference in the cost between the skirt and the hoodie
= 5 p - 1 p
= 4 p
= 4 x 28
= $112
Answer(s): $112