Question

A lottery win is inversely proportional to the number of tickets matching the correct numbers. If 20 tickets have the correct numbers, the winners each receive £1400. One week, each person receives £3500. How many tickets matched the correct numbers?

Answer 1

Answer: 8

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

`\Rightarrow A\propto (1)/(n)\\\Rightarrow A\cdot n=\text{constant}`

Initially A=£1400, n=20

then A=£3500, n=?

Product in both the case is same

`\therefore \quad 1400* 20=3500*n\\\Rightarrow n=8`

There are 8 tickets that matched the correct numbers