Flynn, Albert and Daniel have some stickers. The ratios of their stickers are as follows:
Flynn : (Flynn + Albert + Daniel) = 2 : 5
Albert : (Flynn + Daniel) = 1 : 3
Daniel has 16 stickers more than Albert. In the end, Daniel gives away all he has to Albert and Flynn so that both Albert and Flynn end up with the same number of stickers, how many stickers has Flynn received from Daniel?
Albert |
Daniel |
Flynn |
Total |
3x4 |
2x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
7 u |
8 u |
20 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 5 and 4 is 20.
Number of stickers that Daniel has more than Albert
= 7 u - 5 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
|
Albert |
Daniel |
Flynn |
Before |
5 u |
7 u |
8 u |
Change |
+ 5 u |
- 7 u |
+ 2 u |
After |
10 u |
0 u |
10 u |
Number of stickers that Flynn has received from Daniel
= 10 u - 8 u
= 2 u
= 2 x 8
= 16
Answer(s): 16