document.write( "Question 1157655: Solve this application problem using a system of equations: The owner of Jeremy’s Garage
\n" ); document.write( "wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for is customers. How
\n" ); document.write( "many gallons of 100% antifreeze should he mix with some 12% antifreeze mixture in order to
\n" ); document.write( "fill the drum? \n" ); document.write( "

Algebra.Com's Answer #780524 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = gallons of 100% antifreeze needed
\n" ); document.write( "Let $\"+y+\"$ = gallons of 12% antifreeze needed
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\n" ); document.write( "The amount of pure antifreeze the owner ends up with will be:
\n" ); document.write( " $\"+.2%2A55+=+11+\"$ gallons
\n" ); document.write( " $\"+1%2Ax+%2B+.12y+\"$ is also the amount of pure antifreeze owner
\n" ); document.write( "ends up with
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+x+%2B+y+=+55+\"$
\n" ); document.write( "(2) $\"+x+%2B+.12y+=+.2%2A55+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) $\"+x+%2B+.12y+=+11+\"$
\n" ); document.write( "(2) $\"+100x+%2B+12y+=+1100+\"$
\n" ); document.write( "(2) $\"+25x+%2B+3y+=+275+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+25x+%2B+3y+=+275+\"$
\n" ); document.write( "(1) $\"+-3x+-+3y+=+-165+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+22x+=+110+\"$
\n" ); document.write( " $\"+x+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+x+%2B+y+=+55+\"$
\n" ); document.write( "(1) $\"+5+%2B+y+=+55+\"$
\n" ); document.write( "(1) $\"+y+=+50+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "5 gallons of 100% antifreeze are needed
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+x+%2B+.12y+=+.2%2A55+\"$
\n" ); document.write( "(2) $\"+5+%2B+.12%2A50+=+.2%2A55+\"$
\n" ); document.write( "(2) $\"+5+%2B+6+=+11+\"$
\n" ); document.write( "(2) $\"+11+=+11+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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