document.write( "Question 1025332: A baker wants to mix white chocolate with dark chocolate for a new cookie recipe. The white chocolate is worth $4 per pound and the dark chocolate is worth $7 per pound. They need 6 pounds of the chocolate mixture that is worth $5 per pound. How many pounds of chocolate should be added to the mixture? \n" ); document.write( "

Algebra.Com's Answer #640631 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = pounds of white chocolate needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of dark chocolate needed
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+6+\"$
\n" ); document.write( "(2) $\"+%28+4a+%2B+7b+%29+%2F+6+=+5+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+4a+%2B+7b+=+30+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+4+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+4a+%2B+7b+=+30+\"$
\n" ); document.write( "(1) $\"+-4a+-+4b+=+-24+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+3b+=+6+\"$
\n" ); document.write( " $\"+b+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+6+\"$
\n" ); document.write( "(1) $\"+a+=+4+\"$
\n" ); document.write( "--------------
\n" ); document.write( "4 pounds of white chocolate are needed
\n" ); document.write( "2 pounds of dark chocolate are needed
\n" ); document.write( "----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+4a+%2B+7b+%29+%2F+6+=+5+\"$
\n" ); document.write( "(2) $\"+%28+4%2A4+%2B+7%2A2+%29+%2F+6+=+5+\"$
\n" ); document.write( "(2) $\"+%28+16+%2B+14+%29+%2F+6+=+5+\"$
\n" ); document.write( "(2) $\"+30+=+30+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );