SOLUTION: Jimmy is a partner in an Internet-based coffee supplier. The company offers gourmet coffee beans for $14 per pound and regular coffee beans for $9 per pound. Jimmy is creating a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jimmy is a partner in an Internet-based coffee supplier. The company offers gourmet coffee beans for $14 per pound and regular coffee beans for $9 per pound. Jimmy is creating a       Log On


   

Question 1042498: Jimmy is a partner in an Internet-based coffee supplier. The company
offers gourmet coffee beans for $14 per pound and regular coffee beans
for $9 per pound. Jimmy is creating a medium-price product that will
sell for $12 per pound. The first thing to go into the mixing bin was 10
pounds of the gourmet beans. How many pounds of the less expensive
regular beans should be added?
Note: Please dont just do the math and post the solution. Explain EACH step of the equation, Why you are doing this or why you are doing that So I can understand. By just doing the whole equation without a proper explanation of each step I can not learn because I dont know where stuff came from. Please be aware of this. Thanks
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Assign some variables to anything not known.

x pounds of the expensive coffee, the gourmet coffee
c pounds of the cheap coffee, which is the regular coffee
m pounds of the mixture

You find from the description that x=10. Account for pounds of coffee and for price of the mixture to be made. c and m seem to be the unknown quantities.

QUANTITY ACCOUNT: c%2B10=m

PRICE ACCOUNT: %289c%2B14%2A10%29%2Fm=12


Those two equations together are the system of equations in variables c and m. Solve this system of equations.

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