Vaidev and Elijah had $204 and $177 respectively. Each of them bought a hoodie and a blouse at the same price. The cost of the hoodie was 5 times as much as the blouse. In the end, Vaidev had 4 times as much money as Elijah. What was the difference between the cost of the blouse and the hoodie?
|
Vaidev |
Elijah |
Difference |
Before |
$204 |
$177 |
$27 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Vaidev and Elijah 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 = 204 - 177
3 u = 27
1 u = 27 ÷ 3 = 9
Cost of 1 hoodie = 5 p
Cost of 1 blouse = 1 p
Total cost of 1 hoodie and 1 blouse
= 5 p + 1 p
= 6 p
6 p = 177 - 9
6 p = 168
1 p = 168 ÷ 6 = 28
Difference in the cost between the hoodie and the blouse
= 5 p - 1 p
= 4 p
= 4 x 28
= $112
Answer(s): $112