SOLUTION: A bottle contains 850 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

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A bottle contains 850 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 350130: A bottle contains 850 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The answer in words will be:
(ml of pure juice she ends up with)/(total ml of punch) = 48%
Let x = ml of pure juice in punch she added
Given:
850+-+100+=+750 ml of 50% punch at start
.5%2A750+=+375 ml of pure juice at start
-----------------------------------------------
%28375+%2B+x%29%2F850+=+.48
x%2F100 = concentration of punch added
375+%2B+x+=+.48%2A850
x+=+408+-+375
x+=+33 ml
33%2F100+=+.33
The concentration of the punch she adds must be 33%