(2) Raheem can buy peanuts for $0.40 per pound and cashews for $1.05 per pound.How many pounds of each type should he buy to produce 120 pounds of a mixture that costs him $0.66 per pound?

_{t}= total money invested = 5500

_{f1}= amount invested in fund 1

_{f2}= amount invested in fund 2 = i

_{t}- i

_{f1}= 5500 - i

_{f1}

_{f1}= profit fund 1 = 8% = .08 (a percent to decimal you need to divide percent number by 100)

p

_{f2}= profit fund 2 = 1.5% = 0.015

p = profit = 180 = p

_{f1}*i

_{f1}+ p

_{f2}*i

_{f2}

_{f1}using the profit equation

_{f1}*i

_{f1}+ p

_{f2}*i

_{f2}

_{f1}+ .015*i

_{f2}(substitute in known values)

_{f1}+ 0.015 *(5500-i

_{f1}) (substitute in eqn using i

_{f1}for i

_{f2})

_{f1}

_{f1}+ 82.5 - 0.015*i

_{f1}

_{f1}

_{f1}= 97.5/0.065 = 1500

_{f2}= 5500 - i

_{f1}= 5500 - 1500 = 4000

_{P }= cost of peanuts = $0.40/lb

_{C}= cost of cashews = $1.05/lb

_{N}= total pounds of nut mixture = 120 lb

_{P}= pounds of peanuts

_{C}= pounds of cashews = P

_{N}- P

_{P}= 120 - P

_{P}

_{N}= cost of nut mixture = $0.66/lb

_{N}*P

_{N}= 120lb * $0.66/lb = $79.20 = C

_{P}*P

_{P}+ C

_{C}*P

_{C }(this is total money spent on all nuts)