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

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)   (Show Source): You can put this solution on YOUR website!
LESSON, because this is too common a type of exercise ----- https://www.algebra.com/my/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~

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
    - More Mixture problems
    - 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.

RELATED QUESTIONS
The Coffee Counter charges $7 per pound for Kenyan French Roast coffee and $6 per pound... (answered by Fombitz)
The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per... (answered by kennedysj)
The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per... (answered by nyc_function)
The Coffee Counter charges $9.00 per pound of Kenyan French Roast coffee and $11.00 per... (answered by josgarithmetic)
The coffee counter charges $11.00 per pound for Kenyan coffee and $13.00 per pound for... (answered by richwmiller)
What are the equations used to solve this problem: The Coffee Counter charges $9.00 per... (answered by rwm)
the bean counter charges $9.00 per pound for kenya french roast coffee and $8.00 per... (answered by stanbon)
This is a substitution/elimination problem. A coffee counter charges 9.00 per pound for... (answered by nerdybill)
A coffee counter charges $9.00 per pound for french roast, $8.00 a pound for sumantra.... (answered by mananth)