Andy and Julian had $144 and $120 respectively. Each of them bought a shirt and a skirt at the same price. The cost of the shirt was 5 times as much as the skirt. In the end, Andy had 3 times as much money as Julian. What was the difference between the cost of the skirt and the shirt?
|
Andy |
Julian |
Difference |
Before |
$144 |
$120 |
$24 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Andy and Julian 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 = 144 - 120
2 u = 24
1 u = 24 ÷ 2 = 12
Cost of 1 shirt = 5 p
Cost of 1 skirt = 1 p
Total cost of 1 shirt and 1 skirt
= 5 p + 1 p
= 6 p
6 p = 120 - 12
6 p = 108
1 p = 108 ÷ 6 = 18
Difference in the cost between the shirt and the skirt
= 5 p - 1 p
= 4 p
= 4 x 18
= $72
Answer(s): $72