document.write( "Question 149352: a bottle contains 750 ml of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 ml of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that jill added?
\n" );
document.write( "and the answer is 35% but how did they got the answer? \n" );
document.write( "
Algebra.Com's Answer #109566 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! a bottle contains 750 ml of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 ml of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that jill added? \n" ); document.write( ". \n" ); document.write( "Originally the bottle contained: \n" ); document.write( "\"750 ml of fruit punch with a concentration of 50% pure fruit juice\" \n" ); document.write( ". \n" ); document.write( "Then, Jill drinks 100 ml of the punch: \n" ); document.write( "Now, the volume is 750-100 = 650 ml \n" ); document.write( "The amount of fruit juice is now: .50*650 = 325 ml \n" ); document.write( ". \n" ); document.write( "Then, Jill refills (100 ml) it with a \"cheaper\" brand bringing the total concentration to 48% fruit juice. \n" ); document.write( "Let x = concentration of cheaper brand of punch \n" ); document.write( "then \n" ); document.write( "\"amt of fruit juice from cheaper brand\" + \"amt of juice before refill\" = \"48% concentration\" \n" ); document.write( ". \n" ); document.write( "This translates to: \n" ); document.write( "100x + 325 = .48(750) \n" ); document.write( "100x + 325 = 360 \n" ); document.write( "100x = 35 \n" ); document.write( "x = .35 \n" ); document.write( ". \n" ); document.write( "Therefore, the concentration was 35% \n" ); document.write( " \n" ); document.write( " |