Warren, Owen and Harry have some stamps. The ratios of their stamps are as follows:
Warren : (Warren + Owen + Harry) = 2 : 5
Owen : (Warren + Harry) = 1 : 5
Harry has 40 stamps more than Owen. In the end, Harry gives away all he has to Owen and Warren so that both Owen and Warren end up with the same number of stamps, how many stamps has Owen received from Harry?
Owen |
Harry |
Warren |
Total |
3x6 |
2x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
13 u |
12 u |
30 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 5 and 6 is 30.
Number of stamps that Harry has more than Owen
= 13 u - 5 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
|
Owen |
Harry |
Warren |
Before |
5 u |
13 u |
12 u |
Change |
+ 10 u |
- 13 u |
+ 3 u |
After |
15 u |
0 u |
15 u |
Number of stamps that Owen has received from Harry
= 15 u - 5 u
= 10 u
= 10 x 5
= 50
Answer(s): 50