Question

A school allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £25 each and are on offer for 1/5 off.
A train ticket for the day will cost £15 each.
If 2 teachers and the maximum number of students attend, how many students go on the trip?

Answer 1

40

Explanation:

since the school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer 2

40 students

Explanation:

If the tickets are 1/5 that means they cost 4/5

25 * 4/5 = 20

The tickets cost 20 and the train costs 15 so the total per person is 35

Teachers: 2 at 35 = 70

1500 -70 = 1430

Take 1430 / 35 =40.85714286

We can send 40 students