SOLUTION: Theresa Morgan, a chemist, has a 25% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 465 liters of a hydrochloric aci
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Question 1129724: Theresa Morgan, a chemist, has a 25% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 465 liters of a hydrochloric acid solution with a 45% acid concentration?
___ liters of 25% H
____ liters of 55% H
Found 3 solutions by josgarithmetic, Boreal, ikleyn:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
h, amount of the 55% acid to use
465-h, amount of the 25% acid to use
-
--------liters of the 55% HCl
----------------MIS-HANDLED METHOD--------------------
From 25% up to 55%
Want 45% result
25, 30, 35, 40, 45, 50, 55--------
45 % is of the way from 25% to 55%.
Liters of the 25% HCl?
-----of the 25% HCl
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
One way is to note that 45% is 2/3 of the way between 25% and 55%, so twice as much of the 55% will be used.
Or,
x at 25%
465-x at 55%
.25x+.55(465-x)=465*.45=209.25
.25x+255.75-.55x=209.25
-.30x=-46.50
x=155 liters
465-x=310 liters, twice as much.
Answer by ikleyn(52811) (Show Source): You can put this solution on YOUR website!
.
The solution by @Boreal is correct.
The solution by @josgarithmetic is T O T A L L Y W R O N G.
@josgarithmetic is trying to follow recommendations by the tutor @greenestamps in this forum, but having no understanding
on how to do it in a right way - he does it in a wrong way.
For your safety, simply ignore the solution and the answer by @josgarithmetic !.
The correct answer is 155 liters of the 25% solution and 310 liters of the 55% solution.
Check. 0.25*155 + 0.55*310 = 209.25 = 0.45*0.465. ! Correct !
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