document.write( "Question 1102648: How much 78 octane gas and 91 octane gas should be blended to make 13 gallons of 87 octane gas? \n" ); document.write( "
Algebra.Com's Answer #717347 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "I will hope you get other responses from other tutors showing the classic method for solving \"mixture\" problems like this. I use a different method which is much faster and easier. \n" ); document.write( "Think of three numbers on a number line: the 78 and 91 octane of the two fuels being mixed, and the 87 octane of the mixture. \n" ); document.write( "The 87 is 9/13 of the way from 78 to 91. (91-78 = 13; 87-78 = 9) \n" ); document.write( "That means 9/13 of the mixture must be the 91 octane, with the rest being the 78 octane. \n" ); document.write( "The amount of the mixture is 13 gallons; 9/13 of 13 gallons is 9 gallons. \n" ); document.write( "You need to mix 9 gallons of the 91 octane with 4 gallons of the 78 octane to get 13 gallons of 87 octane. \n" ); document.write( " |