Question

Visitors to a carnival are invited to guess the number of beans in a jar. The person who guesses the correct number wins $300. If multiple people guess correctly, the prize will be divided evenly among them. What is the relationship between the number of people who guess correctly and the amount of money each person will receive? Write an equation.

Answer 1

If the prize $300 will be divided among the people who have guess the correct number then, we can infer that the more people wins, the lesser the amount of money each person receives.

Hence, the number of people who guess correctly and the amount of money each person receives have an inverse relationship.

Assuming p = number of people, and m = amount of money each person receives, the equation for this is:

$m=\frac{300}{p}$

or

$m\times p=300$