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Question 1164252: Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150 pounds of blended coffee beans selling for $4.10 per pound. She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper bean at $2.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.
Answer by ikleyn(52802)   (Show Source):
You can put this solution on YOUR website! .
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 -  = 80.
ANSWER. 80 pounds at $4.10 and the rest, 150-80 = 70 pounds at $2.50 should be mixed to reach the goal.
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 "bird flight height" (a top view) is the last lesson
- OVERVIEW of lessons on word problems for mixtures
Read them and become an expert in solution the mixture word problems.
Among these lessons, the most relevant to your problem are the lessons
- 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
- Word problems on mixtures for dry substances like soil and sand
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Mixture problems".
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.
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