Question

The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include in the mixed bag?

ACashews: 0.10 lb.; peanuts: 0.40 1b.
BCashews: 0.42 lb.; peanuts: 0.08 1b.
CCashews: 0.40 lb.; peanuts: 0.10 1b
DCashews: 0.27 lb.; peanuts: 0.23 1b.
E Cashews: 0.23 lb.; peanuts: 0.27 1b.
F Cashews: 0.08 lb.; peanuts: 0.42 1b

Answer 1

Just as a guess, since cashews cost so much more, you'd need to use a lot less of them. So I'd choose A or F. To be sure, solve
p+c = 1/2
5.50c + 2.30p = 2.80 * 1/2