Elijah and Howard had $155 and $131 respectively. Each of them bought a shirt and a blouse at the same price. The cost of the shirt was 4 times as much as the blouse. In the end, Elijah had 5 times as much money as Howard. What was the difference between the cost of the blouse and the shirt?
|
Elijah |
Howard |
Difference |
Before |
$155 |
$131 |
$24 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Elijah and Howard 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 = 155 - 131
4 u = 24
1 u = 24 ÷ 4 = 6
Cost of 1 shirt = 4 p
Cost of 1 blouse = 1 p
Total cost of 1 shirt and 1 blouse
= 4 p + 1 p
= 5 p
5 p = 131 - 6
5 p = 125
1 p = 125 ÷ 5 = 25
Difference in the cost between the shirt and the blouse
= 4 p - 1 p
= 3 p
= 3 x 25
= $75
Answer(s): $75