How many return tickets?
A return ticket from Town A to Town B costs £3.50.
A single ticket from Town A to Town B costs £2.40.
A group of 5 friends buys exactly enough tickets (single and return) to make a total of 8 journeys between Town A and Town B.
They spend exactly £13.90 in total.
How many return tickets did they buy?
Let r = number of return tickets
ReplyDeleteEach return = 2 journeys → total journeys = 2r
We need 8 journeys, so the rest must be single tickets:
Number of single tickets = 8 – 2r
Total cost = return tickets × £3.50 + single tickets × £2.40
→ £3.50r + £2.40(8 – 2r) = £13.90
→ 3.5r + 19.2 – 4.8r = 13.9
→ –1.3r = –5.3
→ r = 4
Final Answer: They bought 4 return tickets.