Question

A school trip uses a 42-seater coach (excluding the driver’s seat).

36 students, 3 teachers and 3 parents go on the coach.
Each student pays £4.25 towards the cost of the coach. Each parent pays twice as much
as a student pays. The teachers travel for free.
The coach company charges £195 for the trip.
a Show that the money paid by the students and parents is not enough to pay for the
coach.
b How much should each teacher pay so that the cost of the coach is covered exactly?
c On the day of the trip, 8 students are ill and they get their money back. The
passengers on the coach share the extra cost equally. What is the extra payment for
each passenger?

Answer 1

Explanation:

the total charge is £195.

we have 36 students. each paying £4.25.

we have 3 parents. each paying 2×£4.25 = £8.50

we have 3 teachers. each paying £0.

a.

the payments are

36×4.25 + 3×8.50 = 153 + 25.5 = £178.50

that is clearly below the total charge of £195.

there is a deficit of 195 - 178.5 = £16.50

b.

3 teachers.

so, each should pay

16.5 / 3 = £5.50

c.

8 students drop out.

that means

8× 4.25 = £34.00 are not paid.

we have now

28 students

3 parents

3 teachers

on the bus.

these are 34 persons.

34 / 34 = £1.00

they each would have to pay £1.00 as extra payment.