A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

I'm not sure how to do conversions. May someone help me please? Earl needs to fill juice cups for his little brother's birthday party. There are 25 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Earl need to purchase? (1 quart = 32 fluid ounces, 1 gallon = 4 quarts)

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You can start with the number of cups and how much they hold. There are 25 cups. Each cup holds 12 fl oz. How many fluid ounces total are needed?

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

    300 fl oz.

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

    25*12= 300

  4. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Great. We have 300 fl oz. Now we need to covert that to gallons.

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since we have conversion factors from fl oz to qt and from qt to gal, let's do the conversion in two steps.

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Each conversion factor you apply is multiplied or divided by the number you have. Remember this, conversion factors are multiplied or divided.

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

    So would you divide 300 by 32? which is 1qt.

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

    Which would equal 9.

  9. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The conversion factor from fl oz to qt is 32. Now we need to decide if we multiply or divide.

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is how you decide. If 1 qt is 32 fl oz, what unit is larger, a qt or a fl oz?

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

    A qt

  12. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Right. Since a qt is larger than a fl oz, if you have a certain volume, like we have 300 fl oz, it will be fewer number of qts than the number of fl oz. The same volume in qt and in fl oz will be a larger number in fl oz than in qt since a qt is larger than a fl oz. Do you understand this?

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

    Yes I understand.

  14. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Here is an example to make this clearer. 1 foot equals 12 inches. 1 foot and 12 inches are exactly the same length. When you use the larger unit, ft, you have only 1, a smaller number. When you use the smaller unit, inches, you have 12, a larger number. In general, the same quantity, length, volume, area, etc. if measured with small units will give you larger number, if measured with larger units will give you a smaller number.

  15. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Great. Back to our problem.

  16. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The conversion factor between fl oz and qt is 32. We now need to decide if we multiply 300 fl oz by 32 or divide by 32 to get qt. 300 fl oz is measured in a small unit, fl oz. We now want it in qt, a larger unit. Since the number of qt must be less than 300, we must divide 300 by 32 to get qt.

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

    300/32= 9.3qts

  18. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Good, but for now, keep it as 9.375 qt. Round it off in the last step after converting to gallons. After you divide 300 fl by 32, you have the volume in qt. Now you need to go from qt to gal. Again, you are going from a smaller unit, qt, to a larger unit, gal. That means there will be fewer gallons than quarts, so you need to divide by the conversion factor to get a smaller number. The conversion factor from qt to gal is 4, so divide the number of qt by 4 to get gal.

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

    So 9.375/4 = 2.343

  20. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Correct. That is the volume in gallons. What is the final answer? How many gallons of juice must Earl buy?

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

    3 gallons

  22. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That is correct. In this type of problem, the final answer must be rounded up. You got it. Great job!

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

    Thank you very much I appreciate your help!

  24. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You're welcome.

  25. 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.