document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101072>Question 101072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this?\r<BR>\n" );
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document.write( "Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost? Hint: You have two unknowns (variables), so you need two equations. Write one equation for each situation and solve the system of equations. \r<BR>\n" );
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document.write( "Let p = the cost of one pear \r<BR>\n" );
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document.write( "Let a = the cost of one apple\r<BR>\n" );
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document.write( "a. Write a system of equations that can be used to determine the cost of pears and apples. \r<BR>\n" );
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document.write( "b. Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73689 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost? Hint: You have two unknowns (variables), so you need two equations. Write one equation for each situation and solve the system of equations. <BR>\n" );
document.write( "Let p = the cost of one pear <BR>\n" );
document.write( "Let a = the cost of one apple <BR>\n" );
document.write( "a. Write a system of equations that can be used to determine the cost of pears and apples.<BR>\n" );
document.write( "6p + 3a = 3.90<BR>\n" );
document.write( "2p + 5a = 3.30<BR>\n" );
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document.write( "Multiply the 2nd equation by 3 to get:<BR>\n" );
document.write( "6p + 15a = 9.90<BR>\n" );
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document.write( "Subtract the 1st from this last to get:<BR>\n" );
document.write( "12a = 6<BR>\n" );
document.write( "a = 0.50 (cost of one apple)<BR>\n" );
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document.write( "Substitute that into 6p + 3a = 3.90<BR>\n" );
document.write( "6p + 3*0.5 = 3.90<BR>\n" );
document.write( "6p + 1.5 = 3.90<BR>\n" );
document.write( "6p = 2.40<BR>\n" );
document.write( "p = 0.60 (price of one pear)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( "b. Determine the cost of one pear and one apple.  </SPAN>\n" );
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