Question

Лена,Оля и Наташа собирали каштаны для уроков труда.Всего девочки набрали 108 каштанов.Лена собрала в 2 раза больше,чем Оля,а Наташа-в 3 раза больше,чем Лена.Сколько каштанов собрала каждая девочка?

Answer 1

12 оля,24 лена, 72 наташа

Answer 2

Problem Analysis

We are given that Lena, Olya, and Natasha collected chestnuts for their craft lessons. The total number of chestnuts collected by the three girls is 108. Lena collected twice as many chestnuts as Olya, and Natasha collected three times as many chestnuts as Lena. We need to determine how many chestnuts each girl collected.

Solution

Let's assume that Olya collected x chestnuts. According to the given information, Lena collected twice as many chestnuts as Olya, so Lena collected 2x chestnuts. Natasha collected three times as many chestnuts as Lena, so Natasha collected 3 * (2x) = 6x chestnuts.

The total number of chestnuts collected by the three girls is the sum of the chestnuts collected by each girl:

x + 2x + 6x = 108

Simplifying the equation:

9x = 108

Dividing both sides of the equation by 9:

x = 12

So, Olya collected 12 chestnuts, Lena collected 2 * 12 = 24 chestnuts, and Natasha collected 6 * 12 = 72 chestnuts.

Therefore, Olya collected 12 chestnuts, Lena collected 24 chestnuts, and Natasha collected 72 chestnuts.

Answer

Olya collected 12 chestnuts, Lena collected 24 chestnuts, and Natasha collected 72 chestnuts.