Owen, Oliver and Julian have some stamps. The ratios of their stamps are as follows:
Owen : (Owen + Oliver + Julian) = 1 : 3
Oliver : (Owen + Julian) = 1 : 3
Julian has 22 stamps more than Oliver. In the end, Julian gives away all he has to Oliver and Owen so that both Oliver and Owen end up with the same number of stamps, how many stamps has Owen received from Julian?
Oliver |
Julian |
Owen |
Total |
2x4 |
1x4 |
3x4 |
1x3 |
3x3 |
4x3 |
3 u |
5 u |
4 u |
12 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 3 and 4 is 12.
Number of stamps that Julian has more than Oliver
= 5 u - 3 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
|
Oliver |
Julian |
Owen |
Before |
3 u |
5 u |
4 u |
Change |
+ 3 u |
- 5 u |
+ 2 u |
After |
6 u |
0 u |
6 u |
Number of stamps that Owen has received from Julian
= 6 u - 4 u
= 2 u
= 2 x 11
= 22
Answer(s): 22