Answer:
£7.60
Step-by-step explanation:
Let's denote the cost of a single cinema ticket as "x." According to the offer, if they buy 3 tickets, they get 1 ticket free.
So, they effectively pay for 3 tickets, but receive 4 tickets in total.
Each friend pays £5.70, and since they are buying 3 tickets but getting 4, the total cost paid by each friend is [tex]\sf \dfrac{3}{4} \times x = £5.70[/tex].
Now, we can find the cost of a single ticket by dividing the total cost by the number of tickets:
[tex]\sf \dfrac{3}{4} \times x = £5.70 [/tex]
To find [tex]\sf x[/tex], we can multiply both sides by [tex]\sf \dfrac{4}{3}[/tex]:
[tex]\sf x = \dfrac{£5.70 \times 4}{3} [/tex]
[tex]\sf x = £7.60 [/tex]
Therefore, the cost of a ticket is £7.60.
