Oscar, Fabian and Flynn have some marbles. The ratios of their marbles are as follows:
Oscar : (Oscar + Fabian + Flynn) = 1 : 4
Fabian : (Oscar + Flynn) = 1 : 5
Flynn has 40 marbles more than Fabian. In the end, Flynn gives away all he has to Fabian and Oscar so that both Fabian and Oscar end up with the same number of marbles, how many marbles has Fabian received from Flynn?
Fabian |
Flynn |
Oscar |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 4 and 6 is 12.
Number of marbles that Flynn has more than Fabian
= 7 u - 2 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
|
Fabian |
Flynn |
Oscar |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of marbles that Fabian has received from Flynn
= 6 u - 2 u
= 4 u
= 4 x 8
= 32
Answer(s): 32