SOLUTION: The owner of Nuts2U snack shack mixes cashews worth $6.25 a lb with peanuts worth $2.00 a lb to get a half-pound mixed nut bag worth $1.70. How much of each kind of nut is include

Algebra ->  Human-and-algebraic-language -> SOLUTION: The owner of Nuts2U snack shack mixes cashews worth $6.25 a lb with peanuts worth $2.00 a lb to get a half-pound mixed nut bag worth $1.70. How much of each kind of nut is include      Log On


   



Question 394639: The owner of Nuts2U snack shack mixes cashews worth $6.25 a lb with peanuts worth $2.00 a lb to get a half-pound mixed nut bag worth $1.70. How much of each kind of nut is included in the mixed bag?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

p = number of pounds of peanuts in the bag
c = number of pounds of cashews in the bag
6.25c+%2B+2.00p+=+1.70
c+%2B+p+=+1%2F2
p+=+1%2F2+-+c
Substitute...
6.25c+%2B+2%281%2F2+-+c%29+=+1.70
6.25c+%2B+1+-+2c+=+1.70
4.25c+=+0.70
c+=+%280.1647%29+lbs+................
p+=+1%2F2+-+%280.1647%29
p+=+%280.3353%29+lbs ...........