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

kaylamalik_xo Group Title

Tickets for a school play cost $5 if you buy them early, and $7 if you buy them the day of the show. If 200 tickets are sold, and the total amount of money from ticket sales was $1340, how many tickets were purchased early? A. 170 tickets B. 30 tickets C. 100 tickets D. 124 tickets

  • one year ago
  • one year ago

  • This Question is Closed
  1. dietrich_harmon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    C

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

    @dietrich_harmon how? ;o

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

    No kidding.

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

    Let early tickets be \(x\). Since there are 200 total, late tickets must be \(200 - x\). You also know that the sum of all tickets is $1340. So: \[5x + 7(200-x) = 1340\] Does that make sense to you?

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

    @geoffb So it really is C?

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

    Definitely not.

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

    I thought so @geoffb. I thought it was A.

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

    Careful...

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

    Did you work out the formula above? Does it make sense how I got it and what it means?

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

    So Id end up with 4x+1400=1340?

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

    No, not 4x.

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

    \[5x + 1400 - 7x = 1340\]

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

    -2x+1400=1340

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

    Yes, good.

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

    x=30

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

    Very good! So once you solve for x, a very important step is to go back and look at what you chose x to represent. In this case, we chose for it to represent tickets purchased early. If we had let it represent tickets purchased late, you would end up with x = 170, but the answer *wouldn't* be A, because it is looking for tickets purchased early, not late.

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

    Does that make sense?

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

    OH so its B

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

    Yes, and you can test it if you want (I would if you were doing a test. 30 early tickets x $5 = $150 170 late tickets x $7 = $1190 Total ticket revenue = $1340

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

    thanks @geoffb

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

    You're welcome! :)

    • one year 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.