Rael, Flynn and Liam have some marbles. The ratios of their marbles are as follows:
Rael : (Rael + Flynn + Liam) = 1 : 4
Flynn : (Rael + Liam) = 1 : 4
Liam has 42 marbles more than Flynn. In the end, Liam gives away all he has to Flynn and Rael so that both Flynn and Rael end up with the same number of marbles, how many marbles has Rael received from Liam?
Flynn |
Liam |
Rael |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 4 and 5 is 20.
Number of marbles that Liam has more than Flynn
= 11 u - 4 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
|
Flynn |
Liam |
Rael |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of marbles that Rael has received from Liam
= 10 u - 5 u
= 5 u
= 5 x 6
= 30
Answer(s): 30