Question

For a particular​ event, 771 tickets were sold for a total of ​$3037. If students paid ​$3 per ticket and non-students paid ​$5 per​ ticket, how many student tickets were​ sold?

Answer 1

Number of student tickets were sold = 409

Explanation:

Total number of tickets sold = 771

I.e Students ticket (S) + Non students ticket(N S) = 771

Total amount to be paid for tickets = $ 3037

Amount paid by students per tickets = $3

Amount paid by non-students per tickets = $5

So, according to question

S + NS = 771

3 S + 5 NS = 3037

Solve both equations

5 S + 5 NS = 771 × 5

3 S + 5 NS = 3037

so ,

(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037

Or, 2 S = 818

I.e S =
`(818)/(2)` = 409

Hence, The number of student tickets were sold = 409 Answer