document.write( "Question 1111708: A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week? \r
\n" ); document.write( "\n" ); document.write( "First car: ______ gallons
\n" ); document.write( "Second car: ______ gallons
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Algebra.Com's Answer #726712 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Car I x gallons for the for the week
\n" ); document.write( "Car II y gallons for the for the week
\n" ); document.write( "Equation for tickets total distance
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\n" ); document.write( "1 x + 1 y = 35 .............1
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\n" ); document.write( "Equation for amount spent
\n" ); document.write( "15 x + 35 y = 825 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -35.00
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-35.00 x -35.00 y = -1225.00
\n" ); document.write( "15.00 35.00 y = 825.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-20.00 x = -400.00
\n" ); document.write( "/ -20.00
\n" ); document.write( "x = 20.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 35.00
\n" ); document.write( "20.00 + 1.00 y = 35.00
\n" ); document.write( " 1.00 y = 15.00
\n" ); document.write( " y= 15.00
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\n" ); document.write( "Car I 20.00 gallons for the for the week
\n" ); document.write( "Car II 15.00 gallons for the for the week
\n" ); document.write( "m.ananth@hotmail.ca
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