Daniel and George had $200 and $140 respectively. Each of them bought a cardigan and a blouse at the same price. The cost of the cardigan was 3 times as much as the blouse. In the end, Daniel had 4 times as much money as George. What was the difference between the cost of the blouse and the cardigan?
|
Daniel |
George |
Difference |
Before |
$200 |
$140 |
$60 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Daniel and George 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 = 200 - 140
3 u = 60
1 u = 60 ÷ 3 = 20
Cost of 1 cardigan = 3 p
Cost of 1 blouse = 1 p
Total cost of 1 cardigan and 1 blouse
= 3 p + 1 p
= 4 p
4 p = 140 - 20
4 p = 120
1 p = 120 ÷ 4 = 30
Difference in the cost between the cardigan and the blouse
= 3 p - 1 p
= 2 p
= 2 x 30
= $60
Answer(s): $60