document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132951>Question 132951</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0918091624/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Jessica decides to mix grades of gasoline in her truck.  She puts in 5 gallons of regular and 7 gallons of premium for a total cost of $29.44.  If premium costs $0.16 more than regular, what is the price of each grade of gasoline? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97148 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ($ are understood)<BR>\n" );
document.write( "Let x=per gallon cost of regular<BR>\n" );
document.write( "Total cost of regular=5x<BR>\n" );
document.write( "Then x+0.16=per gallon cost of premium<BR>\n" );
document.write( "Total cost of premium=7(x+0.16)\r<BR>\n" );
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document.write( "Now we are told that total cost of regular plus total cost of premium equals 29.44, so our equation to solve:\r<BR>\n" );
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document.write( "5x+7(x+0.16)=29.44  get rid of parens<BR>\n" );
document.write( "5x+7x+1.12=29.44 subtract 1.12 from each side<BR>\n" );
document.write( "5x+7x+1.12-1.12=29.44-1.12  collect like terms\r<BR>\n" );
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document.write( "12x=28.32  divide both sides by 12\r<BR>\n" );
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document.write( "x=$2.36 per gal-------------for regular\r<BR>\n" );
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document.write( "x+0.16=2.36+0.16=$2.52 per gal------------for premium\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "5*2.36+7*2.52=29.44<BR>\n" );
document.write( "11.80+17.64=29.44<BR>\n" );
document.write( "29.44=29.44\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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