Ahmad and Glen had $144 and $117 respectively. Each of them bought a sweater and a shirt at the same price. The cost of the sweater was 5 times as much as the shirt. In the end, Ahmad had 4 times as much money as Glen. What was the difference between the cost of the shirt and the sweater?
|
Ahmad |
Glen |
Difference |
Before |
$144 |
$117 |
$27 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Ahmad and Glen 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 = 144 - 117
3 u = 27
1 u = 27 ÷ 3 = 9
Cost of 1 sweater = 5 p
Cost of 1 shirt = 1 p
Total cost of 1 sweater and 1 shirt
= 5 p + 1 p
= 6 p
6 p = 117 - 9
6 p = 108
1 p = 108 ÷ 6 = 18
Difference in the cost between the sweater and the shirt
= 5 p - 1 p
= 4 p
= 4 x 18
= $72
Answer(s): $72