The problem states that the membership fee of a club varies inversely with the number of members. Inverse variation means that as one variable increases, the other variable decreases, and vice versa.
We are given that when there are 80 members, the fee is N350. To find the fee when there are 56 members, we can set up a proportion using the inverse variation relationship.
Let x represent the fee when there are 56 members.
The proportion can be set up as:
80/350 = 56/x
To solve for x, we can cross multiply:
80 * x = 350 * 56
Multiplying both sides, we get:
80x = 19600
Dividing both sides by 80, we find:
x = 245
Therefore, the fee when there are 56 members is N245.