Question 1164252
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<pre>

Let x be the amount (in pounds) of the high-quality coffee.

Then the amount of the rest coffee is (150-x) pounds.


The ingredients cost  5.50x + 2.50*(150-x)  dollars.

The mixture coffee costs  150*4.10  dollars.


Both dollars are assumed the same, giving you this equation


    5.50x + 2.50*(150-x) = 150*4.10,


From the equation,


    x - {{{(150*4.10 - 2.50*150)/(5.50 - 2.50)}}} = 80.


<U>ANSWER</U>.  80 pounds at $4.10  and the rest,  150-80 = 70 pounds at $2.50 should be mixed to reach the goal.
</pre>

Solved.


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In this site, there is entire bunch of lessons covering various types of mixture problems.


A convenient place to quickly observe all these lessons from a &nbsp;"bird flight height" &nbsp;(a top view) &nbsp;is the last lesson 


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/OVERVIEW-of-lesson-on-word-problems-for-mixtures.lesson>OVERVIEW of lessons on word problems for mixtures</A>



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


Among these lessons, the most relevant to your problem are the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-word-problems-on-mixtures-for-dry-substances-coffee-nuts.lesson>Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-dry-substances-like-cookies-candies.lesson>Word problems on mixtures for dry substances like candies, dried fruits</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-dry-substances-like-soil-and-sand.lesson>Word problems on mixtures for dry substances like soil and sand</A>



Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Mixture problems</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.