document.write( "Question 956671: You are an ice cream maker and decided ice cream w/tih 9% butterfat is the best. How many gallons of ice cream with 5% butterfat should be mixed with ice cream that is 15% butterfat to make 200 gallons of desired blend? \n" ); document.write( "
Algebra.Com's Answer #584492 by macston(5194)![]() ![]() You can put this solution on YOUR website! X=gallons of 5%; Y=gallons of 15% \n" ); document.write( "X+Y=200gal \n" ); document.write( "X=200gal-Y \n" ); document.write( "0.05X+0.15Y=0.09(200) Substitute for X \n" ); document.write( "0.05(200gal-Y)+0.15Y=18gal \n" ); document.write( "10gal-0.05Y+0.15Y=18gal Subtract 10gal from each side. \n" ); document.write( "0.10Y=8gal \n" ); document.write( "Y=80 gallons ANSWER 1: There should be 80 gallons of 15%. \n" ); document.write( "X=200gal-Y=200gal-80gal=120gal ANSWER 2: There should be 120 gallons of 5%. \n" ); document.write( "CHECK: \n" ); document.write( "0.05X+0.15Y=0.09(200) \n" ); document.write( "0.05(120gal)+0.15(80gal)=18gal \n" ); document.write( "6gal+12gal=18gal \n" ); document.write( "18gal=18gal \n" ); document.write( " |