Seth, John and Valen have some stamps. The ratios of their stamps are as follows:
Seth : (Seth + John + Valen) = 1 : 4
John : (Seth + Valen) = 1 : 5
Valen has 40 stamps more than John. In the end, Valen gives away all he has to John and Seth so that both John and Seth end up with the same number of stamps, how many stamps has Seth received from Valen?
John |
Valen |
Seth |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 4 and 6 is 12.
Number of stamps that Valen has more than John
= 7 u - 2 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
|
John |
Valen |
Seth |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of stamps that Seth has received from Valen
= 6 u - 3 u
= 3 u
= 3 x 8
= 24
Answer(s): 24