500 students paid rete of £7.50 and the remainder paid the full adult rete of£10.what was the total amount of money paid to the cinema that night?

2 answers

number of people who paid reduced rate ---x
number of adult rates --- 500-x

Total amount paid = 7.5x + 10(500-x)
= 7.5x + 5000 - 10x
= 5000 - 2.5x

Was there more information? That is as far as you can go with what you have.
Is "rete" supposed to be the "rate" (cost) of a cinema ticket?

You have omitted necessary information on the total number of people attending.

The total ticket revenue cannot be computed without knowing the number of adult tickets sold.