document.write( "Question 801198: a shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50. if you buy 5 bags and spend $17, how many of each bag did you buy?
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Algebra.Com's Answer #483462 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of 1 pound bags
\n" ); document.write( "Let $\"+b+\"$ = number of 3 pound bags
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\n" ); document.write( "(1) $\"+a+%2B+b+=+5+\"$
\n" ); document.write( "(2) $\"+2a+%2B+5.5b+=+17+\"$
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\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2a+%2B+5.5b+=+17+\"$
\n" ); document.write( "(1) $\"+-2a+-+2b+=+-10+\"$
\n" ); document.write( " $\"+3.5b+=+7+\"$
\n" ); document.write( " $\"+b+=+2+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+5+\"$
\n" ); document.write( "(1) $\"+a+=+3+\"$
\n" ); document.write( "You bought 3 1-pound bags and
\n" ); document.write( "2 3-pound bags
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\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2a+%2B+5.5b+=+17+\"$
\n" ); document.write( "(2) $\"+2%2A3+%2B+5.5%2A2+=+17+\"$
\n" ); document.write( "(2) $\"+6+%2B+11+=+17+\"$
\n" ); document.write( "(2) $\"+17+=+17+\"$
\n" ); document.write( "OK
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