document.write( "Question 1176894: A total of 1,200 teachers attended a mathematics conference. Early bird registration fee is at 2,000 pesos per teacher while regular registration fee costs 2,500 pesos per teacher.
\n" ); document.write( "a. If x is the number of teachers who registered early, express the total fees collected in terms of x.
\n" ); document.write( "b. If 2,825,000 pesos were collected, how many of each type registered?
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Algebra.Com's Answer #804906 by MathLover1(20850)\"\" \"About 
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\"x+\"is the number of teachers who registered early
\n" ); document.write( "let \"y+\"be the number of teachers who registered regularly\r
\n" ); document.write( "\n" ); document.write( "\"x+%2By=1200\"
\n" ); document.write( "\"y=1200-x\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "a.\r
\n" ); document.write( "\n" ); document.write( " If \"x+\"is the number of teachers who registered early, express the total fees collected in terms of x.\r
\n" ); document.write( "\n" ); document.write( "\"2000x\"\r
\n" ); document.write( "\n" ); document.write( "b.
\n" ); document.write( "If \"2825000\" pesos were collected, how many of each type registered?\r
\n" ); document.write( "\n" ); document.write( "\"2000x%2B2500y=2825000\"..........substitute \"y\" from eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"2000x%2B2500%281200-x%29=2825000\"
\n" ); document.write( "\"2000x%2B3000000+-+2500x=2825000\"
\n" ); document.write( "\"3000000+-+500x=2825000\"
\n" ); document.write( "\"3000000+-+2825000=500x\"
\n" ); document.write( "\"175000=500x\"
\n" ); document.write( "\"x=175000%2F500\"
\n" ); document.write( "\"x=1750%2F5\"
\n" ); document.write( "\"x=350\"-> the number of teachers who registered early\r
\n" ); document.write( "\n" ); document.write( "go to eq.1\r
\n" ); document.write( "\n" ); document.write( "\"y=1200-x\".....eq.1, substitute \"x\"
\n" ); document.write( "\"y=1200-350\"
\n" ); document.write( "\"y=850\"-> the number of teachers who registered regularly\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the total fees collected from teachers who registered early:\"2000x=2000%2A350=700000\"\r
\n" ); document.write( "\n" ); document.write( "the total fees collected from teachers who registered regularly:\"2500y=2500%2A850=2125000\"\r
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\n" ); document.write( "\n" ); document.write( "check total:
\n" ); document.write( "\"700000%2B2125000=2825000\"\r
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