Question 1030324
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A silversmith has two alloys, one containing 50% silver and the other 40% silver. 
How much of each should be melted and combined to obtain 600 grams of an alloy containing 47% silver?
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Take P grams of the 50% silver alloy and F grams of the 40% silver alloy.
Make sure that 

   P +    Q = 600,         (1)   and
0.5P + 0.4Q = 0.47*600.    (2) 

Solve this system for P and Q:

   P +    Q = 600,         (1)   and
0.5P + 0.4Q = 282.         (2)       ( 282 = 0.47*600 )

You can use any of substitution or eliminating method.

I think that if the teacher gave you such problem, you know how to solve the 2x2-system.

If not, look into the lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-system-of-two-eqns-by-the-Subst-method.lesson>Solution of the linear system of two equations in two unknowns by the Substitution method</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of the linear system of two equations in two unknowns by the Elimination method</A> 

in this site.
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