At a fair, 500 pounds of mixed candy was sold for $192.50. If part of the candy was candy corn and was worth $0.35 per pound and the other part of the candy was candy pumpkins worth $0.40 per pound, how many pounds of each were in the mixture?

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Answer 1 · 2018-05-31T00:53:31

There are 150 pounds of Candy Corn and 350 pounds of Candy Pumpkins.

Let x be the number of pounds of candy corn
then #500-x# is the number of pounds of candy pumpkins.

Then, mass of candy corn = #0.35timesx = 0.35x#
The mass of candy pumpkin = #(500-x)times0.4 = (500-x)0.4#

#0.35x+(500-x)times0.4=192.50#

#0.35x+200-0.4x=192.50#

#7.5=0.05x#

#x=150#

Therefore, there are 150 pounds of Candy Corn and 350 pounds of Candy Pumpkins.