SOLUTION: A pot contains 6L of brine at a concentration of 120 g/L. how much water should be boiled off to increase the concentration to 200 g/L?

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Question 178514This question is from textbook Precalculus
: A pot contains 6L of brine at a concentration of 120 g/L. how much water should be boiled off to increase the concentration to 200 g/L? This question is from textbook Precalculus

Found 2 solutions by Mathtut, josmiceli:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
There are 720 grams of salt in the pot. If the concentration is to be 200 grams per liter, then there must be 3.6 liters of brine, so 2.4 liters of water must be boiled off.
:
6L of 120g/L = xL of 200 g/L
6(120) = 200x
720 = 200x
3.6 = x
So you end up with 3.6 liters...so you have to boil off 2.4 liters

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of brine doesn't change when the
water is boiled off
Let x= liters of water to be boiled off
6 L x 120 g/L = 720 g
720+%2F+%286+-+x%29+=+200 g/L
720+=+200%2A%286+-+x%29
720+=+1200+-+200x
200x+=+1200+-+720
200x+=+520
x+=+2.6L