document.write( "Question 271597: The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost of gallon of each type of gasoline? \n" ); document.write( "
Algebra.Com's Answer #198804 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost of gallon of each type of gasoline? \n" ); document.write( "-------------------- \n" ); document.write( "Equations: \n" ); document.write( "10r + 15p = 32.75 \n" ); document.write( "p = r + 0.20 \n" ); document.write( "------------------- \n" ); document.write( "Substitute for \"p\" and solve for \"r\": \n" ); document.write( "10r + 15(r+0.20) = 32.75 \n" ); document.write( "10r + 15r + 2 = 32.75 \n" ); document.write( "25r = 30.75 \n" ); document.write( "r = $1.23 (price of regular) \n" ); document.write( "--- \n" ); document.write( "p = r+0.20 \n" ); document.write( "p = $1.43 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |