John and Henry had $188 and $128 respectively. Each of them bought a blouse and a jacket at the same price. The cost of the blouse was 3 times as much as the jacket. In the end, John had 4 times as much money as Henry. What was the difference between the cost of the jacket and the blouse?
|
John |
Henry |
Difference |
Before |
$188 |
$128 |
$60 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since John and Henry 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 = 188 - 128
3 u = 60
1 u = 60 ÷ 3 = 20
Cost of 1 blouse = 3 p
Cost of 1 jacket = 1 p
Total cost of 1 blouse and 1 jacket
= 3 p + 1 p
= 4 p
4 p = 128 - 20
4 p = 108
1 p = 108 ÷ 4 = 27
Difference in the cost between the blouse and the jacket
= 3 p - 1 p
= 2 p
= 2 x 27
= $54
Answer(s): $54