Sam, Caden and Owen have some stamps. The ratios of their stamps are as follows:
Sam : (Sam + Caden + Owen) = 1 : 4
Caden : (Sam + Owen) = 1 : 4
Owen has 70 stamps more than Caden. In the end, Owen gives away all he has to Caden and Sam so that both Caden and Sam end up with the same number of stamps, how many stamps has Sam received from Owen?
Caden |
Owen |
Sam |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 4 and 5 is 20.
Number of stamps that Owen has more than Caden
= 11 u - 4 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
|
Caden |
Owen |
Sam |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of stamps that Sam has received from Owen
= 10 u - 5 u
= 5 u
= 5 x 10
= 50
Answer(s): 50