SOLUTION: The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound for Sumatran coffee. How much of each type should be used to make a 20 pound blend that sel

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound for Sumatran coffee. How much of each type should be used to make a 20 pound blend that sel      Log On


   

Question 1050612: The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound for Sumatran coffee. How much of each type should be used to make a 20 pound blend that sells for $9.35 per pound?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound for Sumatran coffee.
How much of each type should be used to make a 20 pound blend that sells for $9.35 per pound?
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Let x = "How much of the $10 per pound Kenyan French roast coffee (in pounds) is used to make 20 pound of blend".
Then (20-x) pounds is the amount of the $9 per pound for Sumatran coffee.

The balance equation

x*10 + 9*(20-x) = 20*9.35.

The left side is the cost of the blend calculated as the sum of components.
The right side is the same cost calculated via the price of the blend.

Thus you have a single linear equation for one unknown.
Once such simple guiding equation is obtained the problem is considered as solved.
The completion is just arithmetic. Please do it on your own.

There is a bunch of similar problems with detailed solutions in the lessons
    - Mixture problems
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    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
    - Word problems on mixtures for dry substances like candies, dried fruits
    - Typical word problems on mixtures from the archive
in this site.

Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

It contains many other solved word problems, as well as many other interesting and useful things.