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At a cinema a child's ticket costs £$4.20$ and an adult's ticket costs £$7.70$. When a group of adults and children went to see a film, the total cost was £$C$, where $C$ is a whole number greater than $90$ and less than $96$.

What is the value of $C$?

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*This problem is taken from the UKMT Mathematical Challenges.**View the archive of all weekly problems grouped by curriculum topic*