document.write( "Question 730110: ellen wants to mix candy worth 1.09$ per pound with candy worth $3.32 per pound to form 25 pounds of a mixture worth $2.43 per pound. how many pounds of the expensive candy should she use? \n" ); document.write( "

Algebra.Com's Answer #446477 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of $1.09 candy needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of $3.32 candy needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+25+\"$
\n" ); document.write( "(2) $\"+%28+1.09a+%2B+3.32b+%29+%2F+25+=+2.43+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "(2) $\"+109a+%2B+332b+=+243%2A25+\"$
\n" ); document.write( "(2) $\"+109a+%2B+332b+=+6075+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+109+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+109a+%2B+332b+=+6075+\"$
\n" ); document.write( "(1) $\"+-109a+-+109b+=+-2725+\"$
\n" ); document.write( " $\"+223b+=+3350+\"$
\n" ); document.write( " $\"+b+=+15.022+\"$
\n" ); document.write( "15.022 pounds of $3.32 candy is needed
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+%2B+b+=+25+\"$
\n" ); document.write( "(1) $\"+a+%2B+15.022+=+25+\"$
\n" ); document.write( "(1) $\"+a++=+9.978+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+%28+1.09a+%2B+3.32b+%29+%2F+25+=+2.43+\"$
\n" ); document.write( "(2) $\"+%28+1.09%2A9.978+%2B+3.32%2A15.022+%29+%2F+25+=+2.43+\"$
\n" ); document.write( "(2) $\"+10.876+%2B+49.873+=+2.43%2A25+\"$
\n" ); document.write( "(2) $\"+60.749+=+60.75+\"$
\n" ); document.write( "Close enough\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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