Luke and Sam had $128 and $68 respectively. Each of them bought a shirt and a blouse at the same price. The cost of the shirt was 3 times as much as the blouse. In the end, Luke had 4 times as much money as Sam. What was the difference between the cost of the blouse and the shirt?
|
Luke |
Sam |
Difference |
Before |
$128 |
$68 |
$60 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Luke and Sam 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 = 128 - 68
3 u = 60
1 u = 60 ÷ 3 = 20
Cost of 1 shirt = 3 p
Cost of 1 blouse = 1 p
Total cost of 1 shirt and 1 blouse
= 3 p + 1 p
= 4 p
4 p = 68 - 20
4 p = 48
1 p = 48 ÷ 4 = 12
Difference in the cost between the shirt and the blouse
= 3 p - 1 p
= 2 p
= 2 x 12
= $24
Answer(s): $24