Flynn, Riordan and Ben have some marbles. The ratios of their marbles are as follows:
Flynn : (Flynn + Riordan + Ben) = 3 : 7
Riordan : (Flynn + Ben) = 1 : 3
Ben has 4 marbles more than Riordan. In the end, Ben gives away all he has to Riordan and Flynn so that both Riordan and Flynn end up with the same number of marbles, how many marbles has Riordan received from Ben?
Riordan |
Ben |
Flynn |
Total |
4x4 |
3x4 |
7x4 |
1x7 |
3x7 |
4x7 |
7 u |
9 u |
12 u |
28 u |
The total number of marbles is repeated. Make the total number of marbles the same. LCM of 7 and 4 is 28.
Number of marbles that Ben has more than Riordan
= 9 u - 7 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
|
Riordan |
Ben |
Flynn |
Before |
7 u |
9 u |
12 u |
Change |
+ 7 u |
- 9 u |
+ 2 u |
After |
14 u |
0 u |
14 u |
Number of marbles that Riordan has received from Ben
= 14 u - 7 u
= 7 u
= 7 x 2
= 14
Answer(s): 14