Fred, Oscar and Albert have some marbles. The ratios of their marbles are as follows:
Fred : (Fred + Oscar + Albert) = 1 : 5
Oscar : (Fred + Albert) = 1 : 3
Albert has 36 marbles more than Oscar. In the end, Albert gives away all he has to Oscar and Fred so that both Oscar and Fred end up with the same number of marbles, how many marbles has Oscar received from Albert?
Oscar |
Albert |
Fred |
Total |
4x4 |
1x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
11 u |
4 u |
20 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 5 and 4 is 20.
Number of marbles that Albert has more than Oscar
= 11 u - 5 u
= 6 u
6 u = 36
1 u = 36 ÷ 6 = 6
|
Oscar |
Albert |
Fred |
Before |
5 u |
11 u |
4 u |
Change |
+ 5 u |
- 11 u |
+ 6 u |
After |
10 u |
0 u |
10 u |
Number of marbles that Oscar has received from Albert
= 10 u - 5 u
= 5 u
= 5 x 6
= 30
Answer(s): 30