Homework Help: Math

Posted by Barry on Thursday, January 31, 2013 at 9:07pm.

A pot contains 6 liters of brine at a concentration of 120g/l. How many liters of the water should be boiled off so that concentration of the brine is 200g/l.

Math - Jessica, Thursday, January 31, 2013 at 9:08pm
divide 200 by 120 to get your answer
Math - Jessica, Thursday, January 31, 2013 at 9:08pm
divide 200 by 120 to get your answer
Math - Reiny, Thursday, January 31, 2013 at 9:48pm
let the amount boiled off be x L

amount of brine = 6 (120 g/L) = 720 g
that must stay constant

(6-x)(200 g/L) = 720 g
1200 - 200x = 720
-200x = -480
x = 2.4

2.4 L must be boiled off

check:
liquid left = 6-2.4 = 3.6 L
but there must still be 720 g in there
concentration = 720/3.6 = 200 g/L

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