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