I am trying to make my own Chex Party Mix and sell at a Fund Raiser for Underpai
ID: 2895333 • Letter: I
Question
I am trying to make my own Chex Party Mix and sell at a Fund Raiser for Underpaid College Professors. I would like to create 100 pounds of mix that would have an average cost of $2.00 per pound. I will be using the following ingredients: Chex Cereal 60 cents per pound Planters Peanuts $5.00 per pound Roll Gold Pretzels - $3.25 per pound In my mix, for each pound of peanuts, I would use 4 pounds of Pretzels. How many pounds of Chex Cereal will I need to use to have 100 pounds of mix with an average cost of $2.00 per pound? Your Answer: AnswerExplanation / Answer
here let quantity of Chex cereal =x / pound and that of Planters =y /pound
hence x+y+4y =1
x+5y =1 .............(1)
for average cost is $2/pound
therefore 0.6*x+5y+3.25*4y=2
0.6x+18y =2 .........(2)
solving equation (1) and (2)
x=0.5333
therefore quantity of Chex cereal used for 100 pounds =0.5333*100 =53.33 pounds
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