Question

A school allots £2500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £45 each and are on offer for 1/5
off.
A train ticket for the day will cost £20 each.
If 3 teachers and the maximum number of students attend, how many students go on the trip?

Answer 1

Maximum number of students=41

Explanation:

Total allotted=£2500

Regular theatre Tickets=£45

1/5 off= 4/5*45

=£36

Train tickets=£20 each

Total cost per person=£36+£20

=£56

If 3 teachers and maximum number of students attend

Let x=maximum number of students

Therefore

£56(x+3) <or= £2500

56x+168 <or= 2500

56x <or= 2500-168

56x <or= 2332

x <or= 2332/56

x<or=41.643

Maximum number of students that will go on the trip=41 students

Total money left over for the school=

Total allotted - cost per person multiplied by number of teacher+students

=2500 - 56(3+41)

=2500-56(44)

=2500-2,464

=£36