Question

На празднике было два одинаковых торта.Каждый из них сначала разрезали на 4 равных части.Затем каждую их полученных частей разрезали еще на три равные кусочка. Каждый из присутствующих гномов съел по кусочку торта. Сколько гномов было на празднике? Если осталось всего три кусочка

Answer 1

21 гномов было на празднике 

Answer 2

Calculation of the Number of Gnomes at the Party

To determine the number of gnomes at the party, we can work backwards from the information given.

1. Each of the two identical cakes was initially divided into 4 equal parts. 2. Then, each of these parts was further divided into 3 equal pieces. 3. If there were a total of 3 remaining pieces, we can calculate the number of gnomes at the party.

Let's break down the steps:

1. Each cake was divided into 4 equal parts, resulting in a total of 8 pieces (4 pieces per cake). 2. Each of these 8 pieces was further divided into 3 equal pieces, resulting in a total of 24 smaller pieces (3 pieces per larger piece). 3. If there were 3 remaining pieces, we can subtract them from the total number of pieces to find the number of pieces consumed by the gnomes: 24 - 3 = 21 pieces.

Therefore, there were 21 pieces of cake consumed by the gnomes at the party.

Unfortunately, based on the information provided, we cannot determine the exact number of gnomes at the party.