Bobby and Will had $151 and $75 respectively. Each of them bought a jacket and a shirt at the same price. The cost of the jacket was 3 times as much as the shirt. In the end, Bobby had 5 times as much money as Will. What was the difference between the cost of the shirt and the jacket?
|
Bobby |
Will |
Difference |
Before |
$151 |
$75 |
$76 |
Change |
- 4 p |
- 4 p |
|
After |
5 u |
1 u |
4 u |
Since Bobby and Will 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 = 151 - 75
4 u = 76
1 u = 76 ÷ 4 = 19
Cost of 1 jacket = 3 p
Cost of 1 shirt = 1 p
Total cost of 1 jacket and 1 shirt
= 3 p + 1 p
= 4 p
4 p = 75 - 19
4 p = 56
1 p = 56 ÷ 4 = 14
Difference in the cost between the jacket and the shirt
= 3 p - 1 p
= 2 p
= 2 x 14
= $28
Answer(s): $28