# 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? ##### 1 Answer May 31, 2018 #### Answer: 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 = $0.35 \times x = 0.35 x$The mass of candy pumpkin = $\left(500 - x\right) \times 0.4 = \left(500 - x\right) 0.4$$0.35 x + \left(500 - x\right) \times 0.4 = 192.50$$0.35 x + 200 - 0.4 x = 192.50$$7.5 = 0.05 x$$x = 150\$

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