Container red and blue

Apr 2010
160
0
dfsdfdf
Any help for the below problem will be much appreciated.
Thanks
Kingman


Container A contains 250 red marbles and 200 blue marbles.
Container B contains 600 red marbles and 150 blue marbles.
How many red and blue marbles must be moved from Container A to Container such that 25% of the marbles in Container A are red and 75% of the marbles in Container B are red?

Note: A geometrical approach is recommended.
 
Mar 2010
1,055
290
I'm not sure how to do the problem geometrically, but if you move r red marbles and b blue marbles, there will be:
250-r red marbles and 200-b blue marbles in Container A
600+r red marbles and 150+b blue marbles in Container B

So we need 25% of the marbles in Container A to be red:
250-r = 0.25 * (250-r + 200-b)

And 75% of the marbles in Container B to be red:
600+r = 0.75 * (600+r + 150+b)

From here, you solve the two equations in the two unknowns r and b.

- Hollywood
 
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