Jeremy and Tommy had $156 and $120 respectively. Each of them bought a blouse and a jacket at the same price. The cost of the blouse was 5 times as much as the jacket. In the end, Jeremy had 3 times as much money as Tommy. What was the difference between the cost of the jacket and the blouse?
|
Jeremy |
Tommy |
Difference |
Before |
$156 |
$120 |
$36 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Jeremy and Tommy bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
3 u - 1 u = 156 - 120
2 u = 36
1 u = 36 ÷ 2 = 18
Cost of 1 blouse = 5 p
Cost of 1 jacket = 1 p
Total cost of 1 blouse and 1 jacket
= 5 p + 1 p
= 6 p
6 p = 120 - 18
6 p = 102
1 p = 102 ÷ 6 = 17
Difference in the cost between the blouse and the jacket
= 5 p - 1 p
= 4 p
= 4 x 17
= $68
Answer(s): $68