Ethan, Zane and Flynn have some beads. The ratios of their beads are as follows:
Ethan : (Ethan + Zane + Flynn) = 1 : 4
Zane : (Ethan + Flynn) = 1 : 4
Flynn has 63 beads more than Zane. In the end, Flynn gives away all he has to Zane and Ethan so that both Zane and Ethan end up with the same number of beads, how many beads has Zane received from Flynn?
Zane |
Flynn |
Ethan |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of beads is repeated. Make the total number of beads the same. LCM of 4 and 5 is 20.
Number of beads that Flynn has more than Zane
= 11 u - 4 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
|
Zane |
Flynn |
Ethan |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of beads that Zane has received from Flynn
= 10 u - 4 u
= 6 u
= 6 x 9
= 54
Answer(s): 54