document.write( "Question 647653: A mechanic has 343 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He wants one mixture to be 6% oil and the other mixture to be 2.5% oil. If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures? \n" ); document.write( "
Algebra.Com's Answer #406342 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A mechanic has 343 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. \n" ); document.write( " He wants one mixture to be 6% oil and the other mixture to be 2.5% oil. \n" ); document.write( " If he wants to use all of the gas and oil, how many gallons of gas and oil are \n" ); document.write( " in each of the resulting mixtures? \n" ); document.write( ": \n" ); document.write( "The total amt of the two mixtures: 343+18 = 361 \n" ); document.write( ": \n" ); document.write( "Let x = amt of the 6% mixture \n" ); document.write( "then \n" ); document.write( "(361-x) = amt of the 2.5% mixtures \n" ); document.write( ": \n" ); document.write( "Write an amt of oil equation \n" ); document.write( ".06x + .025(361-x) = 18 \n" ); document.write( ".06x + 9.025 - .025x = 18 \n" ); document.write( ".06x - .025x = 18 - 9.025 \n" ); document.write( ".035x = 8.975 \n" ); document.write( "x = 9.425/.035 \n" ); document.write( "x = 256.4 gal for the 6% mixture \n" ); document.write( "and \n" ); document.write( "361 - 256.4 = 104.6 gal for the 2.5% mixture \n" ); document.write( ": \n" ); document.write( "Find the amt of oil in each \n" ); document.write( ".06(256.4) = 15.4 gal of oil in the 6% mixture \n" ); document.write( ".025(104.6) = 2.6 gal of oil in the 2.5% mixture \n" ); document.write( "-------------------- \n" ); document.write( "Check total = 18 gal \n" ); document.write( ": \n" ); document.write( "Find the amt of gas in each mixture \n" ); document.write( ".94(256.4) = 241 gal of gas in the 6% mixture \n" ); document.write( ".975(104.6) = 102 gal of gas in the 2.5% mixture \n" ); document.write( "----------------- \n" ); document.write( "Check gas total: 343 gal \n" ); document.write( " \n" ); document.write( " |