SOLUTION: the manager of nutt's nuts regularly sells cashews for $6.50 per pound, pecans for $7.50 per pound, and peanuts for $2.00 per pound. hw many pounds of cashews and pecans should be

Algebra ->  Linear-equations -> SOLUTION: the manager of nutt's nuts regularly sells cashews for $6.50 per pound, pecans for $7.50 per pound, and peanuts for $2.00 per pound. hw many pounds of cashews and pecans should be       Log On


   

Question 918076: the manager of nutt's nuts regularly sells cashews for $6.50 per pound, pecans for $7.50 per pound, and peanuts for $2.00 per pound. hw many pounds of cashews and pecans should be mixed with 40 pounds of peanuts to obtain a mixture of 100 pounds that will sell for $4.89 a pound so that the revenue is unchanged?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let p be the pounds of PECANS, and let c be the pounds of cashews.

ACCOUNT FOR PRICE
%286.5c%2B7.5%2Ap%2B2%2A40%29%2F100=4.89

ACCOUNT FOR POUNDS
c%2Bp%2B40=100

These both are linear equations. Solving is now your turn.