Ryan and Cole had $167 and $123 respectively. Each of them bought a hoodie and a blouse at the same price. The cost of the hoodie was 3 times as much as the blouse. In the end, Ryan had 5 times as much money as Cole. What was the difference between the cost of the blouse and the hoodie?
|
Ryan |
Cole |
Difference |
Before |
$167 |
$123 |
$44 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Ryan and Cole 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 = 167 - 123
4 u = 44
1 u = 44 ÷ 4 = 11
Cost of 1 hoodie = 3 p
Cost of 1 blouse = 1 p
Total cost of 1 hoodie and 1 blouse
= 3 p + 1 p
= 4 p
4 p = 123 - 11
4 p = 112
1 p = 112 ÷ 4 = 28
Difference in the cost between the hoodie and the blouse
= 3 p - 1 p
= 2 p
= 2 x 28
= $56
Answer(s): $56