Astorekeeper wishes to sell 100 pounds of mixed nuts for $1.75 a pound. he mixes peanuts worth $1.65 a pound with cashews worth $1.90 a pound. how many pounds of each does he use?

Step-by-step explanation:

Let c represent the weight of cashews in the mix. Then (100 -c) is the weight of peanuts, and the total cost of the 100 lbs of mix will be ...

... 1.90c +1.65(100 -c) = 1.75·100 . . . . total cost of the mix

... 0.25c +165 = 175 . . . . . . . . simplify

... 0.25c = 10 . . . . . . . . . . . . . subtract 165

... c = 40 . . . . . . . . . . . . . . . . . divide by 0.25

There will be 40 lbs of cashews and 100-40 = 60 lbs of peanuts in the mix.

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