document.write( "Question 708400: Making snacks with candy and cereal,how many pounds of candy at $6 per pound would be required to be mixed with cereal costing $8 a pound to create a 10 pound mixture costing $7.50 per pound. \n" ); document.write( "

Algebra.Com's Answer #436101 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of candy at $6 per pound needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of candy at $8 per pound needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"++6a+%2B+8b+=+10%2A7.5+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+10+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+6a+%2B+8b+=+75+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"+6+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+6a+%2B+8b+=+75+\"$
\n" ); document.write( "(2) $\"+-6a+-+6b+=+-60+\"$
\n" ); document.write( " $\"+2b+=+15+\"$
\n" ); document.write( " $\"+b+=+7.5+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+%2B+b+=+10+\"$
\n" ); document.write( "(2) $\"+a+=+2.5+\"$
\n" ); document.write( "2.5 pounds of candy at $6/pound are needed
\n" ); document.write( "7.5 pounds of candy at $8/pound are needed
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+6%2A2.5+%2B+8%2A7.5+=+75+\"$
\n" ); document.write( "(1) $\"+15+%2B+60+=+75+\"$
\n" ); document.write( "(1) $\"+75+=+75+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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