Billy and Will had $160 and $84 respectively. Each of them bought a blouse and a hoodie at the same price. The cost of the blouse was 4 times as much as the hoodie. In the end, Billy had 5 times as much money as Will. What was the difference between the cost of the hoodie and the blouse?
|
Billy |
Will |
Difference |
Before |
$160 |
$84 |
$76 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Billy and Will 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 = 160 - 84
4 u = 76
1 u = 76 ÷ 4 = 19
Cost of 1 blouse = 4 p
Cost of 1 hoodie = 1 p
Total cost of 1 blouse and 1 hoodie
= 4 p + 1 p
= 5 p
5 p = 84 - 19
5 p = 65
1 p = 65 ÷ 5 = 13
Difference in the cost between the blouse and the hoodie
= 4 p - 1 p
= 3 p
= 3 x 13
= $39
Answer(s): $39