Question

More than twenty people came to a sticker exchange. Every person brought the same number of stickers. Every person brought more than one sticker. In all, there were 141 stickers at the exchange. How many people came to the exchange?

Answer 1

Using proportions, it is found that 47 people came to the exchange.

What is a proportion?

A proportion is a fraction of total amount.

In this problem:

• The total amount is the number of stickers sold, which is of 141.

• Since every person brought the same number of stickers, we keep testing the numbers until we find the number of people.

With 2 stickers bought per people, the number of people would be of:

141/2 = 70.5 -> Not an integer, hence not possible for all people to have bought the same number of stickers.

With 3 stickers bought per people, the number of people would be of:

141/3 = 47 -> Integer, hence 47 people bought 3 stickers each.

With 4 stickers bought per people, the number of people would be of:

141/4 = 35.25 -> Not an integer, hence not possible for all people to have bought the same number of stickers.

With 5 stickers bought per people, the number of people would be of:

141/5 = 28.2 -> Not an integer, hence not possible for all people to have bought the same number of stickers.

With 6 stickers bought per people, the number of people would be of:

141/5 = 23.5 -> Not an integer, hence not possible for all people to have bought the same number of stickers.

With 7 stickers bought per people, the number of people would be of:

141/7 = 20.14 -> Not an integer, hence not possible for all people to have bought the same number of stickers.

For higher numbers, the result of the quotient would be less than 20, hence they are disconsidered.

You can learn more about proportions at https://brainly.com/question/24372153