Harry and Cole had $104 and $89 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, Harry had 4 times as much money as Cole. What was the difference between the cost of the jacket and the blouse?
|
Harry |
Cole |
Difference |
Before |
$104 |
$89 |
$15 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Harry 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.
4 u - 1 u = 104 - 89
3 u = 15
1 u = 15 ÷ 3 = 5
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 = 89 - 5
4 p = 84
1 p = 84 ÷ 4 = 21
Difference in the cost between the blouse and the jacket
= 3 p - 1 p
= 2 p
= 2 x 21
= $42
Answer(s): $42