Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

britbrat4290

  • 2 years ago

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 116 hours for prep time, 64 hours for painting, and 110 hours for firing, How many of each can be made?

  • This Question is Closed
  1. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A. 8 wreaths, 6 trees, 2 sleighs B. 6 wreaths, 2 trees, 8 sleighs C. 9 wreaths, 7 trees, 3 sleighs D. 2 wreaths, 8 trees, 6 sleighs

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

    call number of wreaths w , trees t and sleighs s. now you have 3 equations with 3 unknowns: 3w + 14t + 4s = 116 2w +3t + 15s = 64 9w+4t+7s=110

  3. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i thought u cant add unlike terms

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

    each equation is for different "process"

  5. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya i have no clu w/ this one

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

    do you know how to solve these equations ?

  7. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

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

    another way is plugging the answers into the equations .. the answer that satisfies all 3 equations is the correct one

  9. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh ok gimmie a min to figure it out .. sry this ones easy went right over my head

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

    but solving them is better since you wont always have answers. so lets do it using both elimination and substitution. if you multiply the first equation by 3 then subtract the 3rd one from the first you have: 38t+5s=238

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

    ok. we can keep on solving it if you wish

  12. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it would b a correct?

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

    yes, A is the correct answer

  14. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks!

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

    but, it is really good practice to solve the equations by hand and not substituting answers

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

    but, it's up to you :)

  17. britbrat4290
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its hard for me on the computer ... hence y im having some trouble in this class but im almost done thank god

  18. 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