Answer: 8
Step-by-step explanation:
Given
lottery win is inversely proportional to the number of tickets matching the correct number.
Suppose lottery amount is given by A and no. of tickets by n then
[tex]\Rightarrow A\propto \frac{1}{n}\\\Rightarrow A\cdot n=\text{constant}[/tex]
Initially A=£1400, n=20
then A=£3500, n=?
Product in both the case is same
[tex]\therefore \quad 1400\times 20=3500\timesn\\\Rightarrow n=8[/tex]
There are 8 tickets that matched the correct numbers