Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

El_Pollo

  • 2 years ago

Solve using a system of equations: There is a collection of nickels and dimes worth $3.30. There are 42 coins in all. How many are there of each kind?

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

    5n + 10d = 330 n + d = 42

  2. liza2
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    n is the number of nickels and d is the number of dimes.

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

    so you gotta use the second equation to solve for d

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

    or n, but i would do d

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

    so what does d equal?

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

    D=576

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

    no, what you gotta do it find out what d is compared to n. so it's n + d = 42. what you do with that is subtract n from both sides to get d = 42 - n

  8. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and then you can substitute 42 - n for d in the first equation

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

    so 5n + 10d = 330 would be 5n + 10(42 - n) = 330. is this making sense?

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

    Yes, but we have to have a system of equations

  11. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the first thing i posted was our system of equations

  12. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we're solving it

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

    Oh right sorry

  14. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so do you know what to do from there? from 5n + 10(42 - n) = 330?

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

    ok

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

    so just distribute and then solve from there?

  17. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yea, distribute the 10 into the parentheses and then solve for n and once you know how many nickels there are, just substitute that for n in the second equation and solve for d

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

    i get a negative

  19. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1349754629184:dw|

  20. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    does that make sense?

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

    yes i see were i made my mistake i forgot the negative sign

  22. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so now we know that 18 + d = 42 and we can solve for d

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

    right plug in 18 in the n part

  24. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yup, so how many dimes are there?

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

    there's 24

  26. AriPotta
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep :) 24 dimes and 18 nickels

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.