document.write( "Question 1042873: You are trying to decide which of two cars to buy. The first is American-made, costs
\n" ); document.write( "$14,500 and has a rated fuel consumption of 28 miles/gal. The second car is of
\n" ); document.write( "European manufacture, costs $21,700 and has a rated fuel consumption of 19 km/L. If
\n" ); document.write( "the cost of fuel is $0.85/gal and if the cars actually deliver their rated fuel consumption,
\n" ); document.write( "estimate how many km you would have to drive for the lower fuel consumption of the
\n" ); document.write( "second car to compensate for the higher cost of this car?
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Algebra.Com's Answer #657922 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
45.05245.052Convert miles to km and gallons to liters
\n" ); document.write( "\"+28%2A%28+1.609%2F1+%29+=+45.052+\" km
\n" ); document.write( "\"+1%2A%28+3.785%2F1+%29+=+3.785+\" L
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\n" ); document.write( "Convert \"+28+\" mi/gal to km/L
\n" ); document.write( "\"+45.052+%2F+3.785+=+11.903+\" km/L
\n" ); document.write( "and convert $/gal to $/L
\n" ); document.write( "\"+.85%2F3.785+=+.225+\" $/L
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\n" ); document.write( "Note that:
\n" ); document.write( "( $/L ) / ( km/L ) = $/km, and then
\n" ); document.write( "$/km * km = $
\n" ); document.write( "Let \"+x+\" = number of km driven by both cars
\n" ); document.write( "Set the costs of operation equal to each other
\n" ); document.write( "\"+14500+%2B+%28+.225%2F11.903+%29%2Ax+=+21700+%2B+%28+.225%2F19+%29%2Ax+\"
\n" ); document.write( "\"+14500+%2B+.0189x+=+21700+%2B+.012x+\"
\n" ); document.write( "\"+.0069x+=+7200+\"
\n" ); document.write( "\"+x+=+1043478+\"
\n" ); document.write( "So, the car costing $21,700 would have to be driven
\n" ); document.write( "1,043,479 km to compensate for it's higher cost
\n" ); document.write( "( I added 1 more km )
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\n" ); document.write( "check:
\n" ); document.write( "\"+14500+%2B+.0189x+%3E+21700+%2B+.012x+\"
\n" ); document.write( "\"+14500+%2B+.0189%2A1043479+%3E+21700+%2B+.012%2A1043479+\"
\n" ); document.write( "\"+.0189%2A1043479+-+.012%2A1043479+%3E+21700+-+14500+\"
\n" ); document.write( "\"+.0069%2A1043479+%3E+7200+\"
\n" ); document.write( "\"++7200.0051+%3E+7200+\"
\n" ); document.write( "looks OK -check my math & maybe get another opinion
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