document.write( "Question 1090786: Your car has a 12 gallon gas tank. you start off your week with a full tank. during the week you drive 145 miles. on Saturday you decide to take a road trip so you add 6 gallons of gas to your tank and leave town. you drive for 185 miles and your gas gauge reads exactly 1/4 full. what is your average gas mileage in miles per gallon? \n" ); document.write( "

Algebra.Com's Answer #705250 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Your car has a 12 gallon gas tank. you start off your week with a full tank. during the week you drive 145 miles.
\n" ); document.write( "on Saturday you decide to take a road trip so you add 6 gallons of gas to your tank and leave town.
\n" ); document.write( "you drive for 185 miles and your gas gauge reads exactly 1/4 full. what is your average gas mileage in miles per gallon?
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\n" ); document.write( "\n" ); document.write( "Instead of solving for the ratio $\"miles%2Fgallon\"$ I will solve the problem for the reciprocal ratio $\"gallons%2Fmile\"$ .\r
\n" ); document.write( "\n" ); document.write( "Then I will convert my answer to miles per gallon.\r
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document.write( "So, let x be the unknown ratio gallons-per-mile.\r\n" );
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document.write( "The full distance traveled is 145 + 185 miles = 330 miles.\r\n" );
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document.write( "The amount of the fuel spent is   = 12 + 6 - 3 = 15 gallons.\r\n" );
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document.write( "    Notice that  is the volume of the gas that left in the tank.\r\n" );
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document.write( "From the other side, the amount of the fuel spent is  330*x gallons\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "15 = 330x.\r\n" );
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document.write( "Hence,  x =  =   .\r\n" );
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document.write( "Therefore, the answer to the problem's question is  22 miles per gallon.\r\n" );
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