document.write( "Question 1056539: a customer walks into a post office to purchase stamps she purchases 46 stamps some stamps are 49 cents some are 33 cents how many 49 cent stamps and how many 33 cent stamps did she purchase if the total cost was $19.34 \n" ); document.write( "

Algebra.Com's Answer #671642 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = thr number of 33 cent stamps she bought
\n" ); document.write( "Let $\"+b+\"$ = the number of 49 cent stamps she bought
\n" ); document.write( "-----------------------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+46+\"$
\n" ); document.write( "(2) $\"+33a+%2B+49b+=+1934+\"$ ( in cents )
\n" ); document.write( "----------------------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+33+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+33a+%2B+49b+=+1934+\"$
\n" ); document.write( "(1) $\"+-33a+-+33b+=+-1518+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+16b+=+416+\"$
\n" ); document.write( " $\"+b+=+26+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+26+=+46+\"$
\n" ); document.write( "(1) $\"+a+=+20+\"$
\n" ); document.write( "OK
\n" ); document.write( "She bought 20 of the 33 cents stamps
\n" ); document.write( "She bought 26 of the 49 cent stamps
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+33a+%2B+49b+=+1934+\"$
\n" ); document.write( "(2) $\"+33%2A20+%2B+49%2A26+=+1934+\"$
\n" ); document.write( "(2) $\"+660+%2B+1274+=+1934+\"$
\n" ); document.write( "(2) $\"+1934+=+1934+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );