Bryan, Owen and Brandon have some stickers. The ratios of their stickers are as follows:
Bryan : (Bryan + Owen + Brandon) = 3 : 7
Owen : (Bryan + Brandon) = 1 : 3
Brandon has 22 stickers more than Owen. In the end, Brandon gives away all he has to Owen and Bryan so that both Owen and Bryan end up with the same number of stickers, how many stickers has Bryan received from Brandon?
Owen |
Brandon |
Bryan |
Total |
4x4 |
3x4 |
7x4 |
1x7 |
3x7 |
4x7 |
7 u |
9 u |
12 u |
28 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 7 and 4 is 28.
Number of stickers that Brandon has more than Owen
= 9 u - 7 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
|
Owen |
Brandon |
Bryan |
Before |
7 u |
9 u |
12 u |
Change |
+ 7 u |
- 9 u |
+ 2 u |
After |
14 u |
0 u |
14 u |
Number of stickers that Bryan has received from Brandon
= 14 u - 12 u
= 2 u
= 2 x 11
= 22
Answer(s): 22