document.write( "Question 196511: In Canada, $1 and $2 bills have been replaced by coins. When Marissa returned home to San Fran from a trip to Canada, she found that she had acquired 37 of these coins, with a total value of 51 canadian dollars. How many coins of each denomination did she have? \n" ); document.write( "
Algebra.Com's Answer #147295 by josmiceli(19441)\"\" \"About 
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Let \"a\"= the number of $1 coins she has
\n" ); document.write( "Let \"b\"= the number of $2 coins she has
\n" ); document.write( "given:
\n" ); document.write( "\"a+%2B+b+=+37\"
\n" ); document.write( "\"1%2Aa+%2B+2%2Ab+=+51\"
\n" ); document.write( "Subtract the 1st equation from the 2nd
\n" ); document.write( "\"1%2Aa+%2B+2%2Ab+=+51\"
\n" ); document.write( "\"-a+-+b+=+-37\"
\n" ); document.write( "\"b+=+14\"
\n" ); document.write( "And, since
\n" ); document.write( "\"a+%2B+b+=+37\"
\n" ); document.write( "\"a+%2B+14+=+37\"
\n" ); document.write( "\"a+=+37+-+14\"
\n" ); document.write( "\"a+=+23\"
\n" ); document.write( "She has 23 $1 coins and 14 $2 coins
\n" ); document.write( "check:
\n" ); document.write( "\"a+%2B+b+=+37\"
\n" ); document.write( "\"23+%2B+14+=+37\"
\n" ); document.write( "\"37+=+37\"
\n" ); document.write( "OK
\n" ); document.write( "\"a+%2B+2b+=+51\"
\n" ); document.write( "\"23+%2B+28+=+51\"
\n" ); document.write( "\"51+=+51\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );