Question

In a party, everyone gave a gift to each other. If the total number of gifts exchanged in the party was 12, then how many persons were there in the party?​

Answer 1

Answer:

25 people

Step-by-step explanation:

So the idea is that everyone will receive a gift from everybody else except himself/herself.

Therefore, the number of gifts is equal to the number of people multiplied by the number of people minus one.

Hence,

p(p-1) = 600 p² - p = 600 p²-p-600 = 0 (p+24) (p 25) = 0 P = 25

Therefore, number of people is 25.

Answer 2

To solve this we shall take the variable n being a person who attended the party

We know that each person gave a gift to everyone.

So total gifts given will be

12 = n(n-1)  

This is because n is giving a gift to everyone except himself (n-1)

A value that satisfies this equation is n = 4

12 = 4(4-1)

12 = 4(3)

12 = 12

Therefore, there were 4 people at the party