document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89151>Question 89151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30.  At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $118.60.  How many of each type were sold?\r<BR>\n" );
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document.write( "A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16.  What is the price of each fruit?\r<BR>\n" );
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document.write( " can i please get help with these word problems? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64796 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $118.60. How many of each type were sold?<BR>\n" );
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document.write( "Let x = no. of graph notebooks; Let y = no. of ruled notebooks<BR>\n" );
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document.write( "The number of items equation:<BR>\n" );
document.write( "x + y = 50<BR>\n" );
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document.write( "x = (50 - y); use for substitution<BR>\n" );
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document.write( "The $$ amt equation:<BR>\n" );
document.write( "2.50x + 2.30y = 118.60<BR>\n" );
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document.write( "Substitute (50-y) for x, solve for y:<BR>\n" );
document.write( "2.50(50-y) + 2.30y = 118.60<BR>\n" );
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document.write( "125 - 2.5y + 2.3y = 118.60<BR>\n" );
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document.write( "-2.5y + 2.3y = 118.6 - 125<BR>\n" );
document.write( "-.2y = -6.4<BR>\n" );
document.write( "y = -6.4/-.2<BR>\n" );
document.write( "y = 32 ruled note books<BR>\n" );
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document.write( "x = 50 - y<BR>\n" );
document.write( "x = 50 -32<BR>\n" );
document.write( "x = 18 graph note books<BR>\n" );
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document.write( "Check solution using $$ equation<BR>\n" );
document.write( "2.5(18) + 2.3(32) = 118.6<BR>\n" );
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document.write( "A shopper buys three oranges and five lemons for $10.26, while a second shopper<BR>\n" );
document.write( " buys four lemons and six oranges for $11.16. What is the price of each fruit?<BR>\n" );
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document.write( "Let x = price of oranges; Let y = price of lemons<BR>\n" );
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document.write( "Shopper 1 equation<BR>\n" );
document.write( " 3x + 5y = 10.26 <BR>\n" );
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document.write( "Shopper 2 equation<BR>\n" );
document.write( " 6x + 4y = 11.16<BR>\n" );
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document.write( "Multiply eq1 by 2 and subtract eq2 from it:<BR>\n" );
document.write( "6x + 10y = 20.52<BR>\n" );
document.write( "6x +  4y = 11.16<BR>\n" );
document.write( "------------------subtracting eliminates x<BR>\n" );
document.write( "0x +  6y =  9.36<BR>\n" );
document.write( "y = 9.36/6<BR>\n" );
document.write( "y = 1.56 is the price of the lemons<BR>\n" );
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document.write( "Find x using eq1, substitute 1.56 for y:<BR>\n" );
document.write( "3x + 5(1.56) = 10.26<BR>\n" );
document.write( "3x +  7.80 = 10.26<BR>\n" );
document.write( "3x = 10.26 - 7.80<BR>\n" );
document.write( "3x = 2.46<BR>\n" );
document.write( "x = 2.46/3<BR>\n" );
document.write( "x = .82 is the price of oranges<BR>\n" );
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document.write( "Check solutions using eq2<BR>\n" );
document.write( "6(.82) + 4(1.56) = 11.16<BR>\n" );
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document.write( "Did this make sense to you, any questions? </SPAN>\n" );
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