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A jar contains some red and some yellow jelly beans. If a child ate 1 red jelly bean, 1/7 of the remaining candies would be red. If instead the child ate 5 yellow jelly beans, 1/6 of the remaining candies would be red. How do I found out the number of jelly beans that are in the jar?

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What have you tried so far? –  Oscar Cunningham Jan 18 '11 at 0:14
    
This has nothing to do with probability. –  Aryabhata Jan 18 '11 at 0:15
    
@user5962: How is this a probability question? –  user17762 Jan 18 '11 at 0:17
    
It is not "linear algebra" either. –  Andres Caicedo Jan 18 '11 at 0:21
    
@Andres: Well, 2 linear equations, 2 variables :-) –  Aryabhata Jan 18 '11 at 0:25
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2 Answers 2

up vote 1 down vote accepted

HINT $\ $ Put $\rm R = $ #red beans. Then the total #beans $\rm\: =\ 7\ (R-1) + 1\ =\ 6\ R + 5\:.$

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thank you very much –  user5962 Jan 18 '11 at 1:36
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Use algebra.

Let R be the number of red beans, and Y be the number of yellow beans. Then the second and third sentences can be expressed as equations in R and Y. Solve this pair of equations, and you've got it.

For instance, the second sentence tells us that $\frac{R-1}{R+Y-1}=\frac{1}{7}$.

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thank you very much! –  user5962 Jan 18 '11 at 0:20
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