Caden, Liam and Mark have some stamps. The ratios of their stamps are as follows:
Caden : (Caden + Liam + Mark) = 3 : 7
Liam : (Caden + Mark) = 1 : 5
Mark has 20 stamps more than Liam. In the end, Mark gives away all he has to Liam and Caden so that both Liam and Caden end up with the same number of stamps, how many stamps has Caden received from Mark?
Liam |
Mark |
Caden |
Total |
4x6 |
3x6 |
7x6 |
1x7 |
5x7 |
6x7 |
7 u |
17 u |
18 u |
42 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 7 and 6 is 42.
Number of stamps that Mark has more than Liam
= 17 u - 7 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
|
Liam |
Mark |
Caden |
Before |
7 u |
17 u |
18 u |
Change |
+ 14 u |
- 17 u |
+ 3 u |
After |
21 u |
0 u |
21 u |
Number of stamps that Caden has received from Mark
= 21 u - 18 u
= 3 u
= 3 x 2
= 6
Answer(s): 6