Problema Solution

a nut store normally sell cashews for $4.00 per pound and peanuts for $150.00 per pound but at the end of the month, the peanuts had not sold well, so in order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $250.00 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the profit.

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solution:

n1-number of pounds of cashew nuts

a-rate of cashew nuts

n2-number of pounds of peanuts.

b-rate of peanuts

c-resultants rate.

c=a(n1)+b(n2)/(n1+n2)

250=400(n1)+150(n2)/(n1+n2)

250n1+250n2=400n1+150n2

100n2=150n1

n1/n2=2/3

n1:n2=2:3

n2=60pounds

then n1=40 pounds.