SOLUTION: how much ground beef with 24% fat should be mixed with 9 lb of ground sirloin that is 6% fat to make a mixture that is 9.6% fat

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Question 1128835: how much ground beef with 24% fat should be mixed with 9 lb of ground sirloin that is 6% fat to make a mixture that is 9.6% fat
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
x pounds of 24% fat beef





Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
Let x be the amount of the ground beef with 24% fat to mix (the value under the question, in pounds).


Then your equation is


    fat content + fat content = total fat content,   or


    0.24x       + 0.06*9      = 0.096*(x+9)       (1)


    0.24x + 0.06*9 = 0.096x + 0.096*9


    0.24x - 0.096x = 0.096*9 - 0.06*9


    x =  = one click in Excel spreadsheet = 2.25 pounds of the 6% fat should be mixed.   ANSWER


Check.   Left  side of the equation (1)   0.24*2.25 + 0.06*9  = 1.08 lb.

         Right side of the equation (1)   0.096*(2.25+9)      = 1.08 lb.

         Both sides are equal    <------->  ! Correct !

Solved.

-----------------------------

There is entire bunch of 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 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
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
    - OVERVIEW of lessons on word problems for mixtures
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.

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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