document.write( "Question 927227: coffee A, coffee B, and coffee C are combined to 52 lb batch of coffee. Twice as many pounds of coffee C are needed as coffee A. Coffee A is $15.99 per lb, coffee B is $12.45 per lb and coffee C is $12.76 per lb. How many pounds of each coffee should be used to sell for $13.34 per lb? \n" ); document.write( "

Algebra.Com's Answer #562809 by TimothyLamb(4379) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = lbs of A
\n" ); document.write( "y = lbs of B
\n" ); document.write( "z = lbs of C
\n" ); document.write( "---
\n" ); document.write( "x + y + z = 52
\n" ); document.write( "z = 2x
\n" ); document.write( "15.99x + 12.45y + 12.76z = 13.34*52
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form
\n" ); document.write( "---
\n" ); document.write( "x + y + z = 52
\n" ); document.write( "2x - z = 0
\n" ); document.write( "15.99x + 12.45y + 12.76z = 693.68
\n" ); document.write( "---
\n" ); document.write( "copy and paste the above standard form linear equations in to this solver:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
\n" ); document.write( "---
\n" ); document.write( "solution:
\n" ); document.write( "x = lbs of A = 11.125
\n" ); document.write( "y = lbs of B = 18.625
\n" ); document.write( "z = lbs of C = 22.25
\n" ); document.write( "---
\n" ); document.write( "now by substitution:
\n" ); document.write( "z = 2x
\n" ); document.write( "x + y + z = 52
\n" ); document.write( "15.99x + 12.45y + 12.76z = 13.34*52
\n" ); document.write( "---
\n" ); document.write( "x + y + 2x = 52
\n" ); document.write( "15.99x + 12.45y + 12.76*2x = 693.68
\n" ); document.write( "---
\n" ); document.write( "3x + y = 52
\n" ); document.write( "(15.99 + 12.76*2)x + 12.45y = 693.68
\n" ); document.write( "---
\n" ); document.write( "y = 52 - 3x
\n" ); document.write( "41.51x + 12.45y = 693.68
\n" ); document.write( "---
\n" ); document.write( "41.51x + 12.45(52 - 3x) = 693.68
\n" ); document.write( "41.51x + 12.45*52 - 12.45*3x = 693.68
\n" ); document.write( "(41.51 - 12.45*3)x = 693.68 - 12.45*52
\n" ); document.write( "x = (693.68 - 12.45*52)/(41.51 - 12.45*3)
\n" ); document.write( "x = 11.125
\n" ); document.write( "---
\n" ); document.write( "z = 2x
\n" ); document.write( "z = 2*11.125
\n" ); document.write( "z = 22.25
\n" ); document.write( "---
\n" ); document.write( "y = 52 - 3x
\n" ); document.write( "y = 52 - 3*11.125
\n" ); document.write( "y = 18.625
\n" ); document.write( "---
\n" ); document.write( "---
\n" ); document.write( "solution by substitution:
\n" ); document.write( "x = lbs of A = 11.125
\n" ); document.write( "y = lbs of B = 18.625
\n" ); document.write( "z = lbs of C = 22.25
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "

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