Question 703992: Can you please show me what equations to use for the following word problem:
You want to sell 1-lb jars of mixed peanuts and cashews for $5. You pay $3 per pound for peanuts and $6 per pound for cashews. You plan to combine 4 parts peanuts and 1 part cashews to make your mix. You have spent $70 on materials to get started. How many jars must you sell to break even?
Thank you very much.
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! From your intended ratio in each jar, (4/5)*1 pound of peanuts and (1/5)*1 pound of cashews. Your cost (or should this be price?) of each 1 pound jar that you spent for was, based on the prices for the nuts,  dollars per jar.
You spent $70 for "materials", but you did not say anything about the price for the jars, so this will be ignored. The materials here will be just the nuts.
Let us recover that $70 cost. You want your PROFIT to be $70 and to sell just enough to receive that much profit. Sell price is 5 dollar per jar but your cost was 3.60 dollar per jar, so to get back your spent $70,
 , where n is how many jars you sell. You want to find n. If nonwhole, choose the integer value above the theoretical value.
EDIT: Third time trying to edit this solution:
Sellers cost for one jar of nuts, (4/5)*3+(1/5)*6=18/5=3.60 dollars per jar.
Profit on a jar = 5.00-3.60=$1.40 per jar.
1.40*n=70
n=50,
Need to sell 50 jars to break even.
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