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A bag contains 4 blue, 5 green and 3 red marbles. How many green marbles must be added to the bag so that at least 79 percent of the marbles are green?

 Jan 1, 2022
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22 green marbles.  

 

To solve, let x be the number of marbles added.  

 

\(\frac{5+x}{12+x}>\frac{79}{100}\)

 

 simplifying, we see that 

 

\(x>21\frac{1}{3}\)

 

so x is at least 22.  

 

If we put this back into the original problem, there would be 27 green marbles and 34 marbles total.  

 

27/34 is about 0.79411, which is slightly above 79%.

 Jan 2, 2022

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