Harry and Paul had $168 and $150 respectively. Each of them bought a shirt and a jacket at the same price. The cost of the shirt was 5 times as much as the jacket. In the end, Harry had 4 times as much money as Paul. What was the difference between the cost of the jacket and the shirt?
|
Harry |
Paul |
Difference |
Before |
$168 |
$150 |
$18 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Harry and Paul 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 = 168 - 150
3 u = 18
1 u = 18 ÷ 3 = 6
Cost of 1 shirt = 5 p
Cost of 1 jacket = 1 p
Total cost of 1 shirt and 1 jacket
= 5 p + 1 p
= 6 p
6 p = 150 - 6
6 p = 144
1 p = 144 ÷ 6 = 24
Difference in the cost between the shirt and the jacket
= 5 p - 1 p
= 4 p
= 4 x 24
= $96
Answer(s): $96