document.write( "Question 438404: At the fruit market, a box of 16 peaches costs $2.01 more than a bag of 12 apples. Bobby bought 2 boxes of peaches and 5 bags of apples. He paid $46.11, which included 6% sales tax. What is the price of each box of 16 peaches and what is the price of each bag of 12 apples? \n" ); document.write( "

Algebra.Com's Answer #303181 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = the price of a box of 16 peaches
\n" ); document.write( "Let $\"b\"$ = the price of a bag of 12 apples
\n" ); document.write( "Let $\"c\"$ = the price of 2 boxes of peaches and 5 bags of apples
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+b+%2B+201+\"$ (in cents)
\n" ); document.write( "(2) $\"+2a+%2B+5b+=+c+\"$ (in cents)
\n" ); document.write( " $\"+c+%2B+.06c+=+4611+\"$ (in cents)
\n" ); document.write( " $\"+c+=+4611%2F1.06+\"$
\n" ); document.write( " $\"+c+=+4350+\"$ ( in cents)
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+a+-+b+=+201+\"$
\n" ); document.write( "(2) $\"+2a+%2B+5b+=+4350+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$ and add (1) and (2)
\n" ); document.write( "(1) $\"+5a+-+5b+=+1005+\"$
\n" ); document.write( "(2) $\"+2a+%2B+5b+=+4350+\"$
\n" ); document.write( " $\"+7a+=+5355+\"$
\n" ); document.write( " $\"+a+=+765+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+-+b+=+201+\"$
\n" ); document.write( " $\"+765+-+b+=+201+\"$
\n" ); document.write( " $\"+b+=+765+-+201+\"$
\n" ); document.write( " $\"+b+=+564+\"$
\n" ); document.write( "Each box of 16 peaches costs $7.65
\n" ); document.write( "Each bag of 12 apples costs $5.64
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2a+%2B+5b+=+c+\"$
\n" ); document.write( "(2) $\"+2%2A765+%2B+5%2A564+=+4350+\"$
\n" ); document.write( " $\"+1530+%2B+2820+=+4350+\"$
\n" ); document.write( " $\"+4350+=+4350+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );