Ryan had $202 and Michael had $100 at first. Each of them bought an identical cardigan and an identical shirt from the same shop. The shirt cost 2 times as much as the cardigan. In the end, Ryan had 4 times as much money as Michael. What was the cost of the cardigan?
| |
Ryan |
Michael |
Difference |
| Before |
$202 |
$100 |
$102 |
| Change |
- 1 cardigan
- 1 shirt |
- 1 cardigan
- 1 shirt |
|
| After |
4 u |
1 u |
3 u |
Since Ryan and Michael bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 4 u - 1 u
= 3 u
3 u = 202 - 100
3 u = 102
1 u = 102 ÷ 3 = 34
Amount that Michael had in the end
= 1 u
= $34
Cost of 1 cardigan and 1 shirt
= 100 - 1 u
= 100 - 34
= $66
The shirt cost 2 times as much as the cardigan.
Cost of 1 cardigan = 1 p
Cost of 1 shirt = 2 p
Total cost of 1 cardigan and 1 shirt
= 1 p + 2 p
= 3 p
3 p = 66
1 p = 66 ÷ 3 = 22
Cost of the cardigan
= 1 p
= $22
Answer(s): $22
