document.write( "Question 401518: The Cookie Crumble Company sells two kinds of cookies. Peanut butter are $6.50 per dozen and chocolate chip are $9.00 per dozen. They sold 85 dozen more peanut butter than chocolate chip cookies. The total sales for both were $4055.50. How many dozens of each were sold? \n" ); document.write( "

Algebra.Com's Answer #284119 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = dozens of peanut butter cookies sold
\n" ); document.write( "Let $\"c\"$ = dozens of chocolate chip cookies sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"p+=+c+%2B+85\"$
\n" ); document.write( "(2) $\"650p+%2B+900c+=+405550\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( " $\"650%2A%28c+%2B+85%29+%2B+900c+=+405550\"$
\n" ); document.write( " $\"650c+%2B+55250+%2B+900c+=+405550\"$
\n" ); document.write( " $\"1550c+=+350300\"$
\n" ); document.write( " $\"c+=+226\"$
\n" ); document.write( "and, from (1)
\n" ); document.write( " $\"p+=+226+%2B+85\"$
\n" ); document.write( " $\"p+=+311\"$
\n" ); document.write( "311 dozen peanut butter cookies were sold
\n" ); document.write( "226 dozen chocolate chip cookies were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"650p+%2B+900c+=+405550\"$
\n" ); document.write( " $\"650%2A311+%2B+900%2A226+=+405550\"$
\n" ); document.write( " $\"202150+%2B+203400+=+405550\"$
\n" ); document.write( " $\"405550+=+405550\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );