Question

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?

Answer 1

it costs $60 to buy a season ticket

and it costs $5 for a single ticket

Answer 2

satellite i have littile question, which you helped me previously

Answer 3

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

Answer 4

so you need to solve

5x = 60

for x

to find when he will spend $60 on buying single tickets only

Answer 5

tell me what you get

Answer 6

So it would be 12?

Answer 7

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)

Answer 8

make sense?

Answer 9

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

Answer 10

12 is when the two prices are equal

Answer 11

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

Answer 12

13 is when you start saving money with the season pass

Answer 13

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?

Answer 14

exactly

Answer 15

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

Answer 16

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?

Answer 17

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

Answer 18

which is why you bump it up from 12 to 13

Answer 19

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

Answer 20

hmm not sure what you mean by this

Answer 21

like just two more wrong answers?

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

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/

Answer 27

yes 13 is the min

Answer 28

13 or above is where you start saving

Answer 29

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

Answer 30

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

Answer 31

lol thank you very much! ^-^

Answer 32

you're welcome