document.write( "Question 1005531: I can't seem to come up with the correct equation to start this math problem. Could someone please help me?\r
\n" ); document.write( "\n" ); document.write( "A family has two cars. During one particular week, the first car consumed
\n" ); document.write( "30 gallons of gas and the second consumed
\n" ); document.write( "40 gallons of gas. The two cars drove a combined total of
\n" ); document.write( "2400 miles, and the sum of their fuel efficiencies was
\n" ); document.write( "70 miles per gallon. What were the fuel efficiencies of each of the cars that week?
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Algebra.Com's Answer #621765 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = distance in miles driven by the
\n" ); document.write( "car that consumed 30 gallons of gas
\n" ); document.write( "\"+2400+-+d+\" = distance driven by the
\n" ); document.write( "car that consumed 40 gallons of gas
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\n" ); document.write( "\"+d%2F30+\" = fuel efficiency of 1st car
\n" ); document.write( "\"+%28+2499+-+d+%29%2F40+\" = fuel efficiency of 2nd car
\n" ); document.write( "---------------------------------------
\n" ); document.write( "\"+d%2F30+%2B+%28+2400+-+d+%29%2F40+=+70+\"
\n" ); document.write( "Multiply both sides by \"+1200+\"
\n" ); document.write( "\"+40d+%2B+30%2A%28+2400+-+d+%29+=+70%2A1200+\"
\n" ); document.write( "\"+40d+%2B+72000+-+30d+=+84000+\"
\n" ); document.write( "\"+10d+=+12000+\"
\n" ); document.write( "\"+d+=+1200+\"
\n" ); document.write( "\"+2400+-+d+=+2400+-+1200+\"
\n" ); document.write( "\"+2400+-+d+=+1200+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Both cars drove 1200 mi
\n" ); document.write( "\"+d%2F30+=+1200%2F30+\"
\n" ); document.write( "\"+d%2F30+=+40+\"
\n" ); document.write( "and
\n" ); document.write( "\"++%28+2400+-+d+%29%2F40+=+1200%2F40+\"
\n" ); document.write( "\"++%28+2400+-+d+%29%2F40+=+30+\"
\n" ); document.write( "----------------------
\n" ); document.write( "The 1st car's fuel efficiency was 40 mi/gallon
\n" ); document.write( "The 2nd car's fuel efficiency was 30 mi/gallon\r
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