A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Jason left a bin outside in his garden to collect rainwater. He notices that 1 over 5 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2/3x = 1/5 with x representing 1 entire bin

  3. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    correct! @i_dont_know_

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino whats the complete answer :) please include all the work !

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (1/5) / (2/3) = x/1 --- (1/5 water to 2/3 bin = x water to 1 bin) now we cross multiply 2/3x = 1/5 x = (1/5) / (2/3) x = 1/5 * 3/2 x = 3/10 check 1/5 = 2/3 of 3/10 1/5 = 2/3 * 3/10 1/5 = 6/30 1/5 = 1/5

  6. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    more explanation: the filling rate is: \[r = \frac{{1/5}}{{\left( {2/3} \right)b}}\] now, in order to get the right equation for amount q of water, we have to multiply that rate by the area of the bin \( b \) so we get: \[q = r \cdot b = \frac{{1/5}}{{\left( {2/3} \right)b}} \cdot b = ...?\]

  7. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I would normally set it up as a proportion...like i_don't_know_ did...

  8. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oops... not area of bin, the volume of bin

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so is this the full answer? the filling rate is: r=1/5(2/3)b now, in order to get the right equation for amount q of water, we have to multiply that rate by the area of the bin b so we get: q=r⋅b=1/5(2/3)b⋅b=...?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont know this :( q=r⋅b=1/5(2/3)b⋅b=

  11. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    another way is to write a proportion, please look at the reply of @i_dont_know_

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok but whats this? q=r⋅b=1/5(2/3)b⋅b=

  13. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I meant: b stands for bin so 1/5 of gallon of water is needed to fill 2/3 of bin, then the filling rate, is: \[r = \frac{{1/5}}{{\left( {2/3} \right)b}}\] now, in order to get the requested amount q of water, we have to multiply r by b so we can write: \[q = r \cdot b = \frac{{1/5}}{{\left( {2/3} \right)b}} \cdot b = ...?\]

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont know the answer to that :(

  15. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok! then look at the proportion of @i_dont_know_ above

  16. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if q is the requested amount of water, then we can write: \[q:1 = 1/5:2/3\]

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im so confused :(

  18. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and, if I apply the fundamental property of proportion, I get: \[q = \frac{{1/5}}{{2/3}} = ...?\]

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you just please give me the answer :)

  20. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hint: \[q = \frac{{1/5}}{{2/3}} = \frac{1}{5} \cdot \frac{3}{2} = ...?\]

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3/10

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.