Tom and Tim had $112 and $64 respectively. Each of them bought a sweater and a shirt at the same price. The cost of the sweater was 3 times as much as the shirt. In the end, Tom had 4 times as much money as Tim. What was the difference between the cost of the shirt and the sweater?
|
Tom |
Tim |
Difference |
Before |
$112 |
$64 |
$48 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Tom and Tim 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 = 112 - 64
3 u = 48
1 u = 48 ÷ 3 = 16
Cost of 1 sweater = 3 p
Cost of 1 shirt = 1 p
Total cost of 1 sweater and 1 shirt
= 3 p + 1 p
= 4 p
4 p = 64 - 16
4 p = 48
1 p = 48 ÷ 4 = 12
Difference in the cost between the sweater and the shirt
= 3 p - 1 p
= 2 p
= 2 x 12
= $24
Answer(s): $24