SOLUTION: Megan bought x pounds of coffee that cost $3 per pound and 18 pounds of coffee at $2.50 per pound. Find the total number of pounds of coffee purchased if the average cost per pound

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Megan bought x pounds of coffee that cost $3 per pound and 18 pounds of coffee at $2.50 per pound. Find the total number of pounds of coffee purchased if the average cost per pound      Log On


   

Question 1106488: Megan bought x pounds of coffee that cost $3 per pound and 18 pounds of coffee at $2.50 per pound. Find the total number of pounds of coffee purchased if the average cost per pound of both types together was $2.85
Answer by ikleyn(52934) About Me  (Show Source):
You can put this solution on YOUR website!
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cost of the $3 per pound coffee + cost of the $2.50 per pound coffee = av.cost*total pounds


3x                              + 2.50*18                            = 2.85*(x+18).


3x + 2.5*18 = 2.85x + 2.85*18

3x - 2.85x = 2.85*18-2.5*18

0.15x = 0.35*18  ====>  x = %280.35%2A18%29%2F0.15 = 42.


Answer.  42 pounds.


Check.   %283%2A42+%2B+2.5%2A18%29%2F%2842%2B18%29 =  2.85.   ! Correct !

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It is a typical mixture type word problem.

There is entire bunch of introductory lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
in this site.

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization,  from very detailed to very short.

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

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 textbook in the section "Word problems" 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.