Albert and Justin had $91 and $77 respectively. Each of them bought a hoodie and a blouse at the same price. The cost of the hoodie was 4 times as much as the blouse. In the end, Albert had 3 times as much money as Justin. What was the difference between the cost of the blouse and the hoodie?
|
Albert |
Justin |
Difference |
Before |
$91 |
$77 |
$14 |
Change |
- 5 p |
- 5 p |
|
After |
3 u |
1 u |
2 u |
Since Albert and Justin 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 = 91 - 77
2 u = 14
1 u = 14 ÷ 2 = 7
Cost of 1 hoodie = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 hoodie and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 77 - 7
5 p = 70
1 p = 70 ÷ 5 = 14
Difference in the cost between the hoodie and the blouse
= 4 p - 1 p
= 3 p
= 3 x 14
= $42
Answer(s): $42