Cole and Simon had $126 and $81 respectively. Each of them bought a skirt and a jacket at the same price. The cost of the skirt was 5 times as much as the jacket. In the end, Cole had 4 times as much money as Simon. What was the difference between the cost of the jacket and the skirt?
|
Cole |
Simon |
Difference |
Before |
$126 |
$81 |
$45 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Cole and Simon 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 = 126 - 81
3 u = 45
1 u = 45 ÷ 3 = 15
Cost of 1 skirt = 5 p
Cost of 1 jacket = 1 p
Total cost of 1 skirt and 1 jacket
= 5 p + 1 p
= 6 p
6 p = 81 - 15
6 p = 66
1 p = 66 ÷ 6 = 11
Difference in the cost between the skirt and the jacket
= 5 p - 1 p
= 4 p
= 4 x 11
= $44
Answer(s): $44