A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

on a balance scale 3 apples and 1 banana exactly balance 10 plums. Also 1 apple and 6 plums balance 1 banana. How many plums will balance one banana?

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

    I wrote two equations relating the masses of apples (a), bananas (b) and plums (p). 3 a + 1b = 10p 1a + 6p = 1b Can you solve this system of equations?

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

    (or solve for a relationship between mass of the bananas and plums) (aka number of plums (mass) = number of bananas (mass) )

  3. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I like 7

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

    yes i can solve with the equations thanks!

  5. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Here is why: From first relationship given you can write 10 plums - 3 apples = 1 banana From the second relationship you can write when multiplying the equation by 3: 3 apples + 18 plums = 3banana. Now writing them to see how they look 3 apples + 18 Plums =3 banana -3 apples +10 Plums = 1 banana Now add these two equations ------------------------------ 28 Plums = 4banana divide thru by 4 7 Plums = 1 banana

  6. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Does that make sense?

  7. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Please note we are talking about weight (balance scale) we are not adding apples and plums lol

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

    thankyou and yes!

  9. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good luck with your studies.

  10. 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.