How many pounds of Cashews that cost $4.25 per pound should be mixed with 4 pounds of m&m's that cost $1.24 per pound to obtain a mixture that cost $3.30 per pound?

Question

How would you write this as an algebraic expession and solve?

Answer 1

How many pounds of Cashews that cost $4.25 per pound should be mixed with 4 pounds of m&m's that cost $1.24 per pound to obtain a mixture that cost $3.30 per pound?

Let there be C pounds of Cashew nuts

Let there be M=4 pounds of M&M's

Total weight of mixture is W = C + M = C + 4

Total cost of mixture is P = cost of cashews + cost of M*M's

P = C*4.25 + M*1.24 = 4.25C + 4*1.24 = 4.25C + 4.96

And total cost of mixture is W*3.30

P = 3.30W = 4.25C + 4.96

3.30(C + 4) = 4.25C + 4.96

3.30C + 13.20 = 4.25C + 4.96

8.24 = 0.95C

C = 8.24/0.95 = 8.673

Answer: weight of Cashews to be mixed with 4 lbs M&M's is: 8.673 lbs