document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464083>Question 464083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Everton College store paid $1930 for an order of 49 calculators. The store paid $10 for each scientific calculator. The others, all graphing calculators, cost the store $55 each. How many of each type of calculator was ordered?\r<BR>\n" );
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document.write( "The store ordered______scientific calculators and _______graphing calculators.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317898 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> total for all calculators was equal to 1930 dollars.<BR>\n" );
document.write( "there were 49 calculator total.<BR>\n" );
document.write( "each scientific calculator cost 10 dollars.<BR>\n" );
document.write( "each of the other types of calculator cost 55 dollars.<BR>\n" );
document.write( "let x = number of scientific calculators.<BR>\n" );
document.write( "let y = number of other calculators.<BR>\n" );
document.write( "your formula is:<BR>\n" );
document.write( "10*x + 55*y = 1930<BR>\n" );
document.write( "x + y = 49<BR>\n" );
document.write( "this is 2 equations that need to be solved simultaneously, meaning that the same value of x and the same value of y needs to be able to satisfy the conditions of both equations.<BR>\n" );
document.write( "solve for y in the second equation to get y = 49 - x.<BR>\n" );
document.write( "use that value of y in the first equation to get 10*x + 55*(49-x) = 1930.<BR>\n" );
document.write( "simplify this to get 10*x + 55*49 - 55*x = 1930.<BR>\n" );
document.write( "simplify further to get -45*x + 2695 = 1930.<BR>\n" );
document.write( "subtract 2695 from both sides of the equation to get -45*x = -765<BR>\n" );
document.write( "divide both sides by -45 to get x = 17<BR>\n" );
document.write( "use that value of x in the first equation to get 10*(17) + 55*y = 1930.<BR>\n" );
document.write( "simplify to get 170 + 55*y = 1930.<BR>\n" );
document.write( "subtract 170 from both sides of the equation to get 55*y = 1760<BR>\n" );
document.write( "divide both sides of the equation by 55 to get y = 32.<BR>\n" );
document.write( "x = 17 and y = 32.<BR>\n" );
document.write( "x + y becomes 17 + 32 which equals 49 satisfying the requirements of the second equation.<BR>\n" );
document.write( "10*x + 55*y becomes 10*17 + 55*32 becomes 170 + 1760 which equals 1930 satisfying the requirements of the first equation.<BR>\n" );
document.write( "this confirms your answer is good.<BR>\n" );
document.write( "the answer is:<BR>\n" );
document.write( "x = 17 which means that the number of scientific calculators is equal to 17.<BR>\n" );
document.write( "y = 32 which means that the number of other calculators is equal to 32.<BR>\n" );
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