Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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

  • 2 months ago
  • 2 months ago

  • This Question is Closed
  1. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I would use the idea of a mass balance of the acid.

    • 2 months ago
  2. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    For example, the amount of acid in the 50 gallons of a 24% acid solution would be 50*.24=12 gallons of acid.

    • 2 months ago
  3. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Make sense so far?

    • 2 months ago
  4. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

    • 2 months ago
  5. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Sweet. Since we don't have the volume of the 60% acid solution, I will call that x.

    • 2 months ago
  6. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you write an expression that shows the volume of acid of the 60% acid solution?

    • 2 months ago
  7. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    0.5 = 0.6x + (50*0.24) I have a feeling that this isn't right.

    • 2 months ago
  8. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    That is close. The addition side looks good, but what about the volume of the combined solution?

    • 2 months ago
  9. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    @Catseyeglint911?

    • 2 months ago
  10. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry I had to step a way for a bit

    • 2 months ago
  11. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    No worries :)

    • 2 months ago
  12. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    (0.5*50) = 0.6x + (50*0.24) Is this what you meant?

    • 2 months ago
  13. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 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?

    • 2 months ago
  14. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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?

    • 2 months ago
  15. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 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.

    • 2 months ago
  16. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    (x+50) = 0.6 + (50*0.24) It's still wrong isn't it?

    • 2 months ago
  17. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 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)

    • 2 months ago
  18. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    The 50 to a 50+x

    • 2 months ago
  19. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you follow me?

    • 2 months ago
  20. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Ooohhh! I see now. :D

    • 2 months ago
  21. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    :D

    • 2 months ago
  22. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you solve for x?

    • 2 months ago
  23. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 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?

    • 2 months ago
  24. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Awesome! :)

    • 2 months ago
  25. Catseyeglint911 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much. :)

    • 2 months ago
  26. JoannaBlackwelder Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    No worries

    • 2 months ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.