(1)The best thing to do with word problems is list all the info you have and need assigning variables

i_{t} = total money invested = 5500

i_{f1} = amount invested in fund 1

i_{f2} = amount invested in fund 2 = i_{t} - i_{f1} = 5500 - i_{f1}

p_{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}

since I have set up the amount invested in fund 2 as a function of amount invested in fund 1 lets solve for i_{f1} using the profit equation

p = p_{f1}*i_{f1} + p_{f2}*i_{f2}

180 = .08 * i_{f1} + .015*i_{f2} (substitute in known values)

180 = .08*i_{f1} + 0.015 *(5500-i_{f1}) (substitute in eqn using i_{f1} for i_{f2})

now solve for i_{f1}

180 = 0.08 * i_{f1} + 82.5 - 0.015*i_{f1}

180- 82.5 = (0.08-0.015) * i_{f1}

i_{f1} = 97.5/0.065 = 1500

which would mean

i_{f2} = 5500 - i_{f1} = 5500 - 1500 = 4000

Now lets verify that the answer is correct using the profit eqn again

p = 0.08*1500 + 0.015 * 4000

p = 120 + 60

p = 180 We get the same answer so values are correct

Full Answer is $1500 invested into fund 1 and $4000 invested into fund 2 (don't forget the units)

(2) Now I will help set up the second problem but you will need to solve for it

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

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

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

P_{P} = pounds of peanuts

P_{C} = pounds of cashews = P_{N} - P_{P} = 120 - P_{P}

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

C_{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)

Good luck, you need to solve for PP and then PC.

Verify your answer using the total money spent on all nuts ($79.20)

Don't forget to put the units with your answers.