Valen, Perry and Harry have some stamps. The ratios of their stamps are as follows:
Valen : (Valen + Perry + Harry) = 2 : 5
Perry : (Valen + Harry) = 1 : 3
Harry has 22 stamps more than Perry. In the end, Harry gives away all he has to Perry and Valen so that both Perry and Valen end up with the same number of stamps, how many stamps has Perry received from Harry?
Perry |
Harry |
Valen |
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 Harry has more than Perry
= 7 u - 5 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
|
Perry |
Harry |
Valen |
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 Perry has received from Harry
= 10 u - 5 u
= 5 u
= 5 x 11
= 55
Answer(s): 55