A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?

£20

Step-by-step explanation:

Given that:

Total amount alloted = 2000

Ticket cost = 32

Discount = 1/4 off

Hence, ticket price = 3/4 * 32 = 24

Train ticket cost = 12

Total cost per person = £(12 + 24) = £36

Hence, alloted amount / cost per person

= £2000 / £36

= 55.55

Total number that can attend = 2 teachers and 53 students

Change = £2000 - (£36*55)

= £20

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

5+2x=a

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