document.write( "Question 545690: George decides to mix grades of gasoline in his truck. He puts in 8 gallons of regular and 12 gallons of premium for a total cost of $55.80. If premium gasoline costs $0.15 more per gallon than regular, what was the price of each grade of gasoline. \n" ); document.write( "
Algebra.Com's Answer #355671 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! He puts in 8 gallons of regular and 12 gallons of premium for a total cost of $55.80. If premium gasoline costs $0.15 more per gallon than regular, what was the price of each grade of gasoline. \n" ); document.write( "------------------- \n" ); document.write( "Equations: \n" ); document.write( "8r + 12p = 55.80 \n" ); document.write( "p = r+ 0.15 \n" ); document.write( "---- \n" ); document.write( "Substitute for \"P\" and solve for \"r\": \n" ); document.write( "8r + 12(r+0.15) = 55.80 \n" ); document.write( "8r + 12r + 1.80 = 55.80 \n" ); document.write( "---- \n" ); document.write( "20r = 54 \n" ); document.write( "regular price = 2.70 \n" ); document.write( "--- \n" ); document.write( "Solve for \"p\": \n" ); document.write( "p = r + 0.15 \n" ); document.write( "premium price = 2.85 \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " \n" ); document.write( " |