document.write( "Question 1065447: A candy store wants to mix candy that costs $2 a pound with some that costs $3 a pound. They want 80 pounds of candy to sell for $2.20 a pound. How much of each type should be used? \n" ); document.write( "

Algebra.Com's Answer #680598 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of $2 candy needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of $3 candy needed
\n" ); document.write( "--------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+80+\"$
\n" ); document.write( "(2) $\"+%28+2a+%2B+3b+%29+%2F+80+=+2.2+\"$
\n" ); document.write( "(2) $\"+2a+%2B+3b+=+176+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$ and
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+2a+%2B+3b+=+176+\"$
\n" ); document.write( "(1) $\"+-2a+-2b+=+-160+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+b+=+16+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+80+\"$
\n" ); document.write( "(1) $\"+a+%2B+16+=+80+\"$
\n" ); document.write( "(1) $\"+a+=+64+\"$
\n" ); document.write( "64 pounds of $2 candy are needed
\n" ); document.write( "16 pounds of $3 candy are needed
\n" ); document.write( "--------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+%28+2a+%2B+3b+%29+%2F+80+=+2.2+\"$
\n" ); document.write( "(2) $\"+%28+2%2A64+%2B+3%2A16+%29+%2F+80+=+2.2+\"$
\n" ); document.write( "(2) $\"+%28+128+%2B+48+%29+%2F+80+=+2.2+\"$
\n" ); document.write( "(2) $\"+176%2F80+=+2.2+\"$
\n" ); document.write( "(2) $\"+176+=+2.2%2A80+\"$
\n" ); document.write( "(2) $\"+176+=+176+\"$
\n" ); document.write( "OK \n" ); document.write( "

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