document.write( "Question 864058: I did a problem very similar to this one and I got it wrong. I really need help and I have to show all of my work!\r
\n" ); document.write( "\n" ); document.write( "On a 1287 mile long trip in windy conditions, a family calculates their fuel economy to be 18 miles per gallon over the 2 days it takes to reach their destination. On their 2-day return trip, with similar wind at their backs, their calculations show a fuel economy of 26 miles per gallon.\r
\n" ); document.write( "\n" ); document.write( "#1 Calculate the expected fuel economy of their vehicle in ideal (non-windy) conditions (f) as well as the influence of the wind (w) in miles per gallons.\r
\n" ); document.write( "\n" ); document.write( "#2Compare how many gallons of fuel they used for the round trip to the expected usage in idea (non-windy) travel conditions. Which uses more? By how many gallons? Round to the nearest hundredth, if necessary?\r
\n" ); document.write( "\n" ); document.write( "Thnaks for any help!!!!!!!!
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Algebra.Com's Answer #520809 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Uniform rates problem, fuel efficiency.
\n" ); document.write( "Rv=d for Rate volume distance; distance in miles, volume in gallons.\r
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\n" ); document.write( "\n" ); document.write( "__________________Rate__________volume__________distance
\n" ); document.write( "Going_____________18____________x_______________18x=1287
\n" ); document.write( "Returning_________26____________y_______________26y=1287\r
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\n" ); document.write( "\n" ); document.write( "The volumes x and y can be easily calculated.
\n" ); document.write( "\"x=1287%2F18=highlight%2871.5%29\" gallons, GOING;
\n" ); document.write( "\"y=1287%2F26=highlight%2849.5%29\" gallons, RETURNING.\r
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\n" ); document.write( "\n" ); document.write( "To look at the rates for wind-effect and fuel efficiency without the wind, try assigning variables r and w.
\n" ); document.write( "r = fuel efficiency without wind
\n" ); document.write( "w = the influence of the wind
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\n" ); document.write( "\n" ); document.write( "______________Rate___________volume___________distance
\n" ); document.write( "GOING_________r-w____________71.5_____________1287
\n" ); document.write( "RETURN________r+w____________49.5_____________1287\r
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\n" ); document.write( "\n" ); document.write( "This arrangement gives also two equations in the two unknowns, now r and w.
\n" ); document.write( "This system:
\n" ); document.write( "\"%28r-w%2971.5=1287\"
\n" ); document.write( "and
\n" ); document.write( "\"%28r%2Bw%2949.5=1287\"
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\n" ); document.write( "The volumes were already found from x and y in the previous part of the problem.
\n" ); document.write( "The rest of the work for r and w are for you to finish.
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