document.write( "Question 279568: I need help please. Sarah Comar's Candy Store sold a total of 53 pounds of jelly beans, selling two kinds of jelly beans. The first kind was priced at $4.45 per pound, and the second was priced at $1.12 per pound. In all, $125.96 was taken in for the two types of jelly beans. How many pounds of each kind were sold? ( Let x represent the number of pounds of the first kind and y the number of pounds of the second. \n" ); document.write( "

Algebra.Com's Answer #203223 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
given:
\n" ); document.write( " $\"x+%2B+y+=+53\"$
\n" ); document.write( " $\"445x+%2B+112y+=+12596\"$ (in cents)
\n" ); document.write( "-----------------------------
\n" ); document.write( "From the 1st equation:
\n" ); document.write( " $\"y+=+53+-+x\"$
\n" ); document.write( " $\"445x+%2B+112%2A%2853+-+x%29+=+12596\"$
\n" ); document.write( " $\"445x+%2B+5936+-+112x+=+12596\"$
\n" ); document.write( " $\"333x+=+12596+-+5936\"$
\n" ); document.write( " $\"333x+=+6660\"$
\n" ); document.write( " $\"x+=+20\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"y+=+53+-+x\"$
\n" ); document.write( " $\"y+=+53+-+20\"$
\n" ); document.write( " $\"y+=+33\"$
\n" ); document.write( "20 pounds @ $4.45/lb and 33 pounds @ $1.12/lb were sold
\n" ); document.write( "check:
\n" ); document.write( " $\"445x+%2B+112%2A%2853+-+x%29+=+12596\"$
\n" ); document.write( " $\"445%2A20+%2B+112%2A%2853+-+20%29+=+12596\"$
\n" ); document.write( " $\"8900+%2B+3696+=+12596\"$
\n" ); document.write( " $\"12596+=+12596\"$
\n" ); document.write( "OK \n" ); document.write( "

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