Oliver, Luis and Fred have some erasers. The ratios of their erasers are as follows:
Oliver : (Oliver + Luis + Fred) = 1 : 5
Luis : (Oliver + Fred) = 1 : 5
Fred has 84 erasers more than Luis. In the end, Fred gives away all he has to Luis and Oliver so that both Luis and Oliver end up with the same number of erasers, how many erasers has Oliver received from Fred?
Luis |
Fred |
Oliver |
Total |
4x6 |
1x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
19 u |
6 u |
30 u |
The total number of erasers is repeated. Make the total number of erasers the same. LCM of 5 and 6 is 30.
Number of erasers that Fred has more than Luis
= 19 u - 5 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
|
Luis |
Fred |
Oliver |
Before |
5 u |
19 u |
6 u |
Change |
+ 10 u |
- 19 u |
+ 9 u |
After |
15 u |
0 u |
15 u |
Number of erasers that Oliver has received from Fred
= 15 u - 6 u
= 9 u
= 9 x 6
= 54
Answer(s): 54