document.write( "Question 762281: A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1375 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week\r
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document.write( "First car = how many gallons?
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document.write( "Second car = how many gallons? \n" );
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Algebra.Com's Answer #463959 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! First car = x \n" ); document.write( "Second car = y \n" ); document.write( " x + y = 55.......1 \n" ); document.write( "35x + 25y = 1675.....2 \n" ); document.write( "Multiply (1) by 25 \n" ); document.write( "25x + 25y = 1375...3 \n" ); document.write( "35x + 25y = 1675...2 \n" ); document.write( "Subtract (3) from (2) \n" ); document.write( "10x = 300 \n" ); document.write( " x = 30 \n" ); document.write( "Substitute x = 30 into (1) \n" ); document.write( "x + y = 55 \n" ); document.write( "30 + y = 55 \n" ); document.write( " y = 55 - 30 \n" ); document.write( " y = 25 \n" ); document.write( "First car 30 gallons \n" ); document.write( "Second car 25 gallons \n" ); document.write( " |