document.write( "Question 379446: b) A family of 2 adults and 3 kids go and watch a movie. The price of an adult ticket is m and the price of a child ticket is n such that:\r
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document.write( "2m + 3n = 28 and n = 12 - m\r
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document.write( "I thought I would solve it by simply doing\r
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document.write( "2m+3(0)=28 and then solve for n the same but this is not working out.
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document.write( "2m=28
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document.write( "m=14\r
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Algebra.Com's Answer #269376 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! You are assuming that n=0, which is not the case. What you really need to do is use the n=12-m to substitute into the first equation in place of the n like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n=12-m \n" ); document.write( "2m+3n=28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2m+3( ) = 28 \n" ); document.write( "2m+3(12-m)=28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, solve for m:\r \n" ); document.write( "\n" ); document.write( "2m + 36-3m = 28 \n" ); document.write( "36-m=28 \n" ); document.write( "-m=28-36 \n" ); document.write( "-m=-8 \n" ); document.write( "m=8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute m=8 into the n equation: \n" ); document.write( "n=12-m \n" ); document.write( "n=12-8 \n" ); document.write( "n=4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Rapalje \n" ); document.write( " |