Find percentage of red gumballs in this gumball machine

AI Thread Summary
To find the percentage of red gumballs in the machine, first calculate the total number of gumballs by adding all the colors together. The total is 232,323 green, 525,252 red, 343,434 blue, 616,161 yellow, and 303,030 pink gumballs, which sums to 2,050,200. The percentage of red gumballs is then determined by dividing the number of red gumballs (525,252) by the total (2,050,200) and multiplying by 100. This calculation confirms that the percentage of red gumballs is approximately 25.6%. The method of dividing the number of red gumballs by the total is the correct approach to find the desired percentage.
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Homework Statement
What percentage are red
Relevant Equations
What percentage are red
A gumball machine contains 232323 green gumballs, 525252 red gumballs, 343434blue gumballs, 616161 yellow gumballs, and 303030 pink gumballs
What percentage are red ,do you add up
the elements and put it over the total?
 
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The question is asking what percentage OF THE TOTAL are red.

Therefore yes, you divide the number of red by the total.
 
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks

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