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Cup A has 600 grams salt solution of 40% concentration. Cup B has 400 grams salt solution of 20% concentration. To make the concentrations of the two cups of salt solution equal, how many grams of salt solution should the two cups exchange with each other?

 

I don't know what to do.

 Jul 18, 2020
 #1
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A     salt =  40% * 600 = 240 g

B     salt     20% * 400 = 80 gm

 

There will be  1000 gm of salt solution at the end of mixing

240g + 80 g    = 1000 (x%)

320 = 1000 x       final solution will be 32%

 

Let 'x' be the amount to pour off of the 4% solution     this will be the same amount of 2% solution to be added back in to make 600 gm of 32%

.4 (600-x)  + .2(x) = 600 (.32)

x=240 ml

 

pour off 240 ml from each and add it to the other ..... you will have 600 gm of 32%    and  400gm of 32%

 Jul 18, 2020

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