document.write( "Question 989045: Jimmie cone has one container of 25% butterfat vanilla ice cream and another of 50% butterfat. How much of each should they use to produce 1,000 gallons of vanilla ice cream that is 45% butterfat? \n" ); document.write( "
Algebra.Com's Answer #609478 by macston(5194) You can put this solution on YOUR website! . \n" ); document.write( "X=gallons of 25%; Y=gallons of 50% \n" ); document.write( ". \n" ); document.write( "X+Y=1000 \n" ); document.write( "Y=1000-X \n" ); document.write( ". \n" ); document.write( "0.25X+0.50Y=0.45(1000) \n" ); document.write( "0.25X+0.50(1000-X)=450 \n" ); document.write( "0.25X+500-0.50X=450 \n" ); document.write( "-0.25X=-50 \n" ); document.write( "X=200 ANSWER 1: They should use 200 gallons of 25%. \n" ); document.write( ". \n" ); document.write( "Y=1000-x=1000-200=800 ANSWER 2: They should use 800 gallons of 50%. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( ". \n" ); document.write( "0.25X+0.50Y=0.45(1000) \n" ); document.write( "0.25(200)+0.50(800)=0.45(1000) \n" ); document.write( "50+400=450 \n" ); document.write( "450=450 \n" ); document.write( " \n" ); document.write( " |