document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188880>Question 1188880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the second consumed 35 gallons of gas. The two cars drove a combined total of 2425 miles, and the sum of their fuel efficiencies was 75 miles per gallon. What were the fuel efficiencies of each of the cars that week? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820066 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=820066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A family has two cars. <BR>\n" );
document.write( "During one particular week, the first car consumed 30 gallons of gas and the second consumed 35 gallons of gas.<BR>\n" );
document.write( " The two cars drove a combined total of 2425 miles, and the sum of their fuel efficiencies was 75 miles per gallon.<BR>\n" );
document.write( " :<BR>\n" );
document.write( "let a = distance traveled by car 1<BR>\n" );
document.write( "let b = distance traveled by car 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Two equations, arrange for elimination <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F30 ALIGN=MIDDLE  ALT=\"a%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F35 ALIGN=MIDDLE  ALT=\"b%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 75<BR>\n" );
document.write( "multiply by the LCD, 210, cancel the denominators<BR>\n" );
document.write( "7a + 6b = 210 * 75<BR>\n" );
document.write( "7a + 6b = 15750<BR>\n" );
document.write( "and <BR>\n" );
document.write( "a + b = 2425<BR>\n" );
document.write( "multiply by 6<BR>\n" );
document.write( "6a + 6b = 14550<BR>\n" );
document.write( ":<BR>\n" );
document.write( "7a + 6b = 15750<BR>\n" );
document.write( "6a + 6b = 14550<BR>\n" );
document.write( "-------------------Subtraction eliminates b, find<BR>\n" );
document.write( "a = 1200 mi driven by the 1st car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2425 - 1200 = 1225 mi driven by the 2nd car<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"What were the fuel efficiencies of each of the cars that week?\"<BR>\n" );
document.write( "1200/30 = 40 mpg for the 1st car<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1225/35 = 35 mpg for the 2nd car<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );