SOLUTION: Cashews sell for $5.00 a pound and peanuts sell for $2.00 a pound. How many pounds of each would you use to make 25 pounds of a mixure that sells for $92.oo?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Cashews sell for $5.00 a pound and peanuts sell for $2.00 a pound. How many pounds of each would you use to make 25 pounds of a mixure that sells for $92.oo?      Log On


   

Question 722190: Cashews sell for $5.00 a pound and peanuts sell for $2.00 a pound. How many pounds of each would you use to make 25 pounds of a mixure that sells for $92.oo?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = pounds of cashews needed
Let +p+ = pounds of peanuts needed
given:
(1) +c+%2B+p+=+25+
(2) +5c+%2B+2p+=+92+
-------------------
Multiply both sides of (1) by 2
and subtract (1) from (2)
(2) +5c+%2B+2p+=+92+
(1) +-2c+-+2p+=+-50+
+3c+=+42+
+c+=+14+
and, since
(1) +c+%2B+p+=+25+
(1) +14+%2B+p+=+25+
(1) +p+=+11+
14 pounds of cashews are needed
11 pounds of peanuts are needed
check:
(2) +5c+%2B+2p+=+92+
(2) +5%2A14+%2B+2%2A11+=+92+
(2) +70+%2B+22+=+92+
(2) +92+=+92+
OK