SOLUTION: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts are needed to make 7 pounds of trail mix that costs $6 per pound?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts are needed to make 7 pounds of trail mix that costs $6 per pound?      Log On


   

Question 912113: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts are needed to make 7 pounds of trail mix that costs $6 per pound?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
7*6=42
total sold 7
total sales 42
product sold at 4.5 and 7
c+a=7,
4.5*c+7*a=42
c=7-a
We have two equations with two variables.
We will substitute to make one equation with one variable
4.5*(7-a)+7*a=42
31.5-4.5a+7*a=42
2.5*a=10.5
a=4.2
c=7-a
c=2.8 lb at $4.5 and a=4.2 lb at $7
check
2.8+4.2=7
4.5*c+7*a=42
4.5*2.8+7*4.2=42
12.6+29.4=42
42.0=42
ok
codetickv