SOLUTION: the nut house sells cashews for 1.50 per pound and peanuts for for 0.50 per pound how many pounds of cashews and peanuts would have to be mixed together to come up with a mixture t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: the nut house sells cashews for 1.50 per pound and peanuts for for 0.50 per pound how many pounds of cashews and peanuts would have to be mixed together to come up with a mixture t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 793389: the nut house sells cashews for 1.50 per pound and peanuts for for 0.50 per pound how many pounds of cashews and peanuts would have to be mixed together to come up with a mixture that costs 1.15 per pound to make a 2 pound bag?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Mixture Problem.
Let c = pounds of cashews
Let p = pounds of peanuts
Let M = pounds of the mixture, 2 pounds.

%281.50c%2B0.5p%29%2FM=1.15 and c%2Bp=2
Solve these simultaneous equations for c and p.
As a start, 1.5c%2B0.5p=1.15M
1.5c%2B0.5p=1.15%2A2
1.5c%2B0.5p=2.30
and to make this a more convenient equation,
15c%2B5p=23.

Your system should be used as:
highlight%2815c%2B5p=23%29 and highlight%28c%2Bp=2%29