Bryan, Flynn and Charlie collected marbles in the ratio of 11 : 7 : 5. After Charlie gave
45 to Bryan and Flynn, Charlie had 105 less marbles than Bryan. The number of marbles that Flynn had increased by 50%. How many marbles did Bryan and Charlie have in the end?
|
Bryan |
Flynn |
Charlie |
Before |
11 u |
7 u |
5 u |
Change |
+ 0.5 u |
+ 3.5 u |
- 4 u |
After |
11.5 u |
10.5 u |
1 u |
Number of marbles that Charlie gave to Bryan and Flynn
=
45 x 5 u
= 4 u
Number of marbles that Flynn received from Charlie
=
50100 x 7 u
= 3.5 u
Number of marbles that Bryan received from Charlie
= 4 u - 3.5 u
= 0.5 u
Number of less marbles that Charlie had less than Bryan
= 11.5 u - 1 u
= 10.5 u
10.5 u = 105
1 u = 105 ÷ 10.5 = 10
Number of marbles that Bryan and Charlie had
= 11.5 u + 1 u
= 12.5 u
= 12.5 x 10
= 125
Answer(s): 125