document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57309>Question 57309</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1. 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. <BR>\n" );
document.write( " Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer. \r<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 #39013 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=39013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 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" );
document.write( "\n" );
document.write( "Let p = the cost of one pear \r<BR>\n" );
document.write( "\n" );
document.write( "Let a = the cost of one apple\r<BR>\n" );
document.write( "\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( " Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer. <BR>\n" );
document.write( ":Six pears and three apples cost $3.90<BR>\n" );
document.write( "Is the equation: 6p+3a=3.90<BR>\n" );
document.write( ":Two pears and five apples cost $3.30<BR>\n" );
document.write( "Is the equation: 2p+5a=3.30<BR>\n" );
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document.write( "Your system of two equations and two unknowns is:<BR>\n" );
document.write( "6p+3a=3.90<BR>\n" );
document.write( "2p+5a=3.30<BR>\n" );
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document.write( "Multiply the second equation by -3 and add it to the first equation to eliminate the p's and solve for a:<BR>\n" );
document.write( "-3(2p+5a=3.30)---> -6p-15a=-9.90<BR>\n" );
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document.write( "6p+3a=3.90<BR>\n" );
document.write( "-6p-15a=-9.90<BR>\n" );
document.write( "_____________<BR>\n" );
document.write( "-12a=-6.00<BR>\n" );
document.write( "-12a/-12=-6.00/-12<BR>\n" );
document.write( "a=$.50<BR>\n" );
document.write( "Substitute a=.50 into one of the original equations and solve for p.<BR>\n" );
document.write( "2p+5(.50)=3.30<BR>\n" );
document.write( "2p+2.50=3.30<BR>\n" );
document.write( "2p+2.50-2.50=3.30-2.50<BR>\n" );
document.write( "2p=.8<BR>\n" );
document.write( "2p/2=.8/2<BR>\n" );
document.write( "p=$.40<BR>\n" );
document.write( "The pears are $.40 a piece and the apples are $.50 a piece.<BR>\n" );
document.write( "Happy Caclulating!!!! </SPAN>\n" );
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