SOLUTION: British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepar

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Question 1107512: British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 320 grams of a copper-silver alloy that is 18% copper by weight? (Round your answers to one decimal place.)

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
copper amt + British silver amt     = total copper amt


   x       +  0.075*(320-x)         = 0.18*320


    We take x grams of pure copper and (320-x) grams of British sterling silver 
    to get 320 grams of 18% copper.


x + 0.075*320 - 0.075x = 0.18*320

0.925x = 0.18*320 - 0.075*320  = 33.6  ====>  x = 33.6%2F0.925 = 36.324.


Answer.  36.324 grams of pure copper.


Check.   %2836.324%2B0.075%2A%28320-36.324%29%29%2F320 = 0.18.   ! Correct !

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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.
The lesson on alloys marked (*) in the list.

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.