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Thatyoungbuttercup

Act problem: the community orchestra will give 18 performances this season. A season ticket cost $60 each, and a single performance cost $ 5 each. Huong purchased a season ticket. What is the minimum number of performances Huong must attend to save money by buying the season ticket instead of buying single performance tickets for the performances she already attended?

  • one year ago
  • one year ago

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  1. jim_thompson5910
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    it costs $60 to buy a season ticket and it costs $5 for a single ticket

    • one year ago
  2. yashar806
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    satellite i have littile question, which you helped me previously

    • one year ago
  3. jim_thompson5910
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    if he goes to x concerts, then he will spend 5x dollars (buying single tickets only)

    • one year ago
  4. jim_thompson5910
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    so you need to solve 5x = 60 for x to find when he will spend $60 on buying single tickets only

    • one year ago
  5. jim_thompson5910
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    tell me what you get

    • one year ago
  6. Thatyoungbuttercup
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    So it would be 12?

    • one year ago
  7. jim_thompson5910
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    good, so the minimum is 13 because buying 13 single tickets will cost 13*5 = 65 dollars compare this with a season pass which only costs $60 so you're saving $5 if you buy a season pass (and you go to 13 concerts)

    • one year ago
  8. jim_thompson5910
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    make sense?

    • one year ago
  9. Thatyoungbuttercup
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    Wait but would'nt 12 be the answer then? and isnt 12 the minimum not 13?

    • one year ago
  10. jim_thompson5910
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    12 is when the two prices are equal

    • one year ago
  11. jim_thompson5910
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    the answer isn't 12 because you could buy a season pass or 12 individual tickets and it wouldnt' matter

    • one year ago
  12. jim_thompson5910
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    13 is when you start saving money with the season pass

    • one year ago
  13. Thatyoungbuttercup
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    so then the answer is 13 is how many performances she would be able to see with the season ticket instead of the singl performance ticket right?

    • one year ago
  14. jim_thompson5910
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    exactly

    • one year ago
  15. jim_thompson5910
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    that's the point where you would choose a season pass over a single ticket

    • one year ago
  16. Thatyoungbuttercup
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    and 12 would be a distractor because a student like me would just divide 5 by 60 to find the # of tickets but the amount of performances he might see with the season ticket right?

    • one year ago
  17. jim_thompson5910
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    12 is where the two are equal, so buying either one won't save you money

    • one year ago
  18. jim_thompson5910
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    which is why you bump it up from 12 to 13

    • one year ago
  19. Thatyoungbuttercup
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    Do you know any possible answers a student might get if he did it a wrong way? i already got 2 of the answers i just need 2 more possible distractors though

    • one year ago
  20. jim_thompson5910
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    hmm not sure what you mean by this

    • one year ago
  21. jim_thompson5910
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    like just two more wrong answers?

    • one year ago
  22. jim_thompson5910
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    usually you try to get to the answer, not the wrong answer lol

    • one year ago
  23. Thatyoungbuttercup
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    lol true but yeah i need 2 more wrong answers>.<

    • one year ago
  24. jim_thompson5910
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    hmm well just anything below 13 will work (as a wrong answer) example: 10*5 = 50 which is less than 60, so the individual tickets are still cheaper if you just go to 10 concerts

    • one year ago
  25. jim_thompson5910
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    or if you go to 9 concerts, then 9*5 = 45 , which is also less than 60 so it's still cheaper to buy individual tickets

    • one year ago
  26. Thatyoungbuttercup
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    wait so is 13 the right answer then? cause the question is what is the minimum numbr of performscs the person must attend to save $ by using the season ticket instad of buying single performance tickets for the permances she attends/

    • one year ago
  27. jim_thompson5910
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    yes 13 is the min

    • one year ago
  28. jim_thompson5910
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    13 or above is where you start saving

    • one year ago
  29. Thatyoungbuttercup
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    lol you're gona kill me>.< i need one last wrong answer lol

    • one year ago
  30. jim_thompson5910
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    lol anything below 13 works, so 9, 10, or 11 works as a wrong answer

    • one year ago
  31. Thatyoungbuttercup
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    lol thank you very much! ^-^

    • one year ago
  32. jim_thompson5910
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    you're welcome

    • one year ago
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