Julian and Caden had $172 and $92 respectively. Each of them bought a sweater and a blouse at the same price. The cost of the sweater was 3 times as much as the blouse. In the end, Julian had 5 times as much money as Caden. What was the difference between the cost of the blouse and the sweater?
|
Julian |
Caden |
Difference |
Before |
$172 |
$92 |
$80 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Julian and Caden bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
5 u - 1 u = 172 - 92
4 u = 80
1 u = 80 ÷ 4 = 20
Cost of 1 sweater = 3 p
Cost of 1 blouse = 1 p
Total cost of 1 sweater and 1 blouse
= 3 p + 1 p
= 4 p
4 p = 92 - 20
4 p = 72
1 p = 72 ÷ 4 = 18
Difference in the cost between the sweater and the blouse
= 3 p - 1 p
= 2 p
= 2 x 18
= $36
Answer(s): $36