Ticket sales a full price ticket for a college basketball game cost $2.50, and a student ticket cost $1.75. if 585 tickets were sold, and the total receipts were $1,217.25, how many tickets were student tickets

  327

Step-by-step explanation:

Let s represent the number of student tickets sold. Then total revenue is ...

  1.75s + 2.50(585-s) = 1217.25

Subtracting 1217.25 and collecting terms, we have ...

  -0.75s +245.25 = 0

Dividing by 0.75 gives ...

  -s + 327 = 0

  s = 327 . . . . . . . add s to both sides of the equation

327 tickets were student tickets.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.