Lee, Carl and Andy have some stamps. The ratios of their stamps are as follows:
Lee : (Lee + Carl + Andy) = 1 : 3
Carl : (Lee + Andy) = 1 : 3
Andy has 10 stamps more than Carl. In the end, Andy gives away all he has to Carl and Lee so that both Carl and Lee end up with the same number of stamps, how many stamps has Carl received from Andy?
Carl |
Andy |
Lee |
Total |
2x4 |
1x4 |
3x4 |
1x3 |
3x3 |
4x3 |
3 u |
5 u |
4 u |
12 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 3 and 4 is 12.
Number of stamps that Andy has more than Carl
= 5 u - 3 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
|
Carl |
Andy |
Lee |
Before |
3 u |
5 u |
4 u |
Change |
+ 3 u |
- 5 u |
+ 2 u |
After |
6 u |
0 u |
6 u |
Number of stamps that Carl has received from Andy
= 6 u - 3 u
= 3 u
= 3 x 5
= 15
Answer(s): 15