A 70% salt solution was diluted with purified water to produce about 50 liters of 55% salt solution. Approximately how much purified water was used?

Question

2253 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-24T10:37:35

see a solution process below;

Let the amount of purified water used be #x#

Now interpreting the statement;

#70%(50 - x) = 55%(50)#

#70/100(50 - x) = 55/100(50)#

#0.70(50 - x) = 0.55(50)#

#35 - 0.70x = 27.5#

Collecting like terms..

#35 - 27.5 = 0.70x#

#7.5 = 0.70x#

Divide both sides by #0.70#

#7.5/0.70 = (0.70x)/0.70#

#x = 7.5/0.70#

#x=10.7#

#x ~~ 11L#

Hence the purified water was used is approximately #11L#