Billy, Wesley and Sam have some stamps. The ratios of their stamps are as follows:
Billy : (Billy + Wesley + Sam) = 2 : 5
Wesley : (Billy + Sam) = 1 : 3
Sam has 20 stamps more than Wesley. In the end, Sam gives away all he has to Wesley and Billy so that both Wesley and Billy end up with the same number of stamps, how many stamps has Billy received from Sam?
Wesley |
Sam |
Billy |
Total |
3x4 |
2x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
7 u |
8 u |
20 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 5 and 4 is 20.
Number of stamps that Sam has more than Wesley
= 7 u - 5 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
|
Wesley |
Sam |
Billy |
Before |
5 u |
7 u |
8 u |
Change |
+ 5 u |
- 7 u |
+ 2 u |
After |
10 u |
0 u |
10 u |
Number of stamps that Billy has received from Sam
= 10 u - 8 u
= 2 u
= 2 x 10
= 20
Answer(s): 20