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Catseyeglint911
Group Title
Who wants a medal?
How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?
a. 130 gal
c. 13 gal
b. 125 gal
d. None of these
 3 months ago
 3 months ago
Catseyeglint911 Group Title
Who wants a medal? How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid? a. 130 gal c. 13 gal b. 125 gal d. None of these
 3 months ago
 3 months ago

This Question is Closed

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
I would use the idea of a mass balance of the acid.
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
For example, the amount of acid in the 50 gallons of a 24% acid solution would be 50*.24=12 gallons of acid.
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Make sense so far?
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
yes
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Sweet. Since we don't have the volume of the 60% acid solution, I will call that x.
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Can you write an expression that shows the volume of acid of the 60% acid solution?
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
0.5 = 0.6x + (50*0.24) I have a feeling that this isn't right.
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
That is close. The addition side looks good, but what about the volume of the combined solution?
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
@Catseyeglint911?
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
sorry I had to step a way for a bit
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
No worries :)
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
(0.5*50) = 0.6x + (50*0.24) Is this what you meant?
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Closer. :) The volume of the 24% solution is 50 gals and the 60% acid solution has volume x gals, so wouldn't the combined 50% acid solution have more volume that 50 gals?
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
So we would have to use two variables since we don't know the number of gallons need of the 60% solution nor do we know the number of gallons of the final solution?
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
We could, but we don't have to. Since we know we are adding two volumes together and one volume is 50 gallons and we defined the second volume to be x gallons. So the combined volume is 50+x gallons.
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
(x+50) = 0.6 + (50*0.24) It's still wrong isn't it?
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Last time you put (0.5*50) = 0.6x + (50*0.24) which was closer. The only thing you needed to change was (0.5*[50+x]) = 0.6x + (50*0.24)
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
The 50 to a 50+x
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Do you follow me?
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
Ooohhh! I see now. :D
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
:D
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Can you solve for x?
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
(0.5*[50+x]) = 0.6x + (50*0.24) 25 + 0.5x = 0.6x + 12 13 + 0.5x = 0.6x 13 = 0.1x 130 = x right?
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
Awesome! :)
 3 months ago

Catseyeglint911 Group TitleBest ResponseYou've already chosen the best response.0
Thank you so much. :)
 3 months ago

JoannaBlackwelder Group TitleBest ResponseYou've already chosen the best response.1
No worries
 3 months ago
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