## Thatyoungbuttercup 2 years ago 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?

1. jim_thompson5910

it costs \$60 to buy a season ticket and it costs \$5 for a single ticket

2. yashar806

satellite i have littile question, which you helped me previously

3. jim_thompson5910

if he goes to x concerts, then he will spend 5x dollars (buying single tickets only)

4. jim_thompson5910

so you need to solve 5x = 60 for x to find when he will spend \$60 on buying single tickets only

5. jim_thompson5910

tell me what you get

6. Thatyoungbuttercup

So it would be 12?

7. jim_thompson5910

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)

8. jim_thompson5910

make sense?

9. Thatyoungbuttercup

Wait but would'nt 12 be the answer then? and isnt 12 the minimum not 13?

10. jim_thompson5910

12 is when the two prices are equal

11. jim_thompson5910

the answer isn't 12 because you could buy a season pass or 12 individual tickets and it wouldnt' matter

12. jim_thompson5910

13 is when you start saving money with the season pass

13. Thatyoungbuttercup

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?

14. jim_thompson5910

exactly

15. jim_thompson5910

that's the point where you would choose a season pass over a single ticket

16. Thatyoungbuttercup

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?

17. jim_thompson5910

12 is where the two are equal, so buying either one won't save you money

18. jim_thompson5910

which is why you bump it up from 12 to 13

19. Thatyoungbuttercup

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

20. jim_thompson5910

hmm not sure what you mean by this

21. jim_thompson5910

like just two more wrong answers?

22. jim_thompson5910

usually you try to get to the answer, not the wrong answer lol

23. Thatyoungbuttercup

lol true but yeah i need 2 more wrong answers>.<

24. jim_thompson5910

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

25. jim_thompson5910

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

26. Thatyoungbuttercup

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/

27. jim_thompson5910

yes 13 is the min

28. jim_thompson5910

13 or above is where you start saving

29. Thatyoungbuttercup

lol you're gona kill me>.< i need one last wrong answer lol

30. jim_thompson5910

lol anything below 13 works, so 9, 10, or 11 works as a wrong answer

31. Thatyoungbuttercup

lol thank you very much! ^-^

32. jim_thompson5910

you're welcome