Question

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?

Answer 1

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

Explanation:

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.