SOLUTION: How many pounds of an alloy containing 45% silver must be melted with a alloy containing 60% silver to obtain 40 pounds of an alloy containing 48% silver?

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Question 1092024: How many pounds of an alloy containing 45% silver must be melted with a alloy containing 60% silver to obtain 40 pounds of an alloy containing 48% silver?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
0.45*x + 0.6*(40-x) = 0.48*x.

where x is the weight (in pounds) under the question.


This equation expresses the silver mass balance in two input alloys and in the resulting alloy.


Simplify and solve for x.

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
in this site.

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.