Question

Діти отримали на новорічній ялинці однакові подарунки. У всіх подарунках разом було 40 апельсинів, 360 цукерок і 160 горіхів. Скільки дітей було на ялинці?

Answer 1

Ответ:

на празднике было 40 детей

Пошаговое объяснение:

надо найти наибольший общий делитель этих чисел

40 =5*2³    160=40*4=2⁵* 5        360=40*9=2³*5*3²

НОД(40;160;360)=2³*5=40

Answer 2

To solve this problem, we can set up a system of equations based on the information given. Let's assume there were "x" children at the Christmas tree.

We know that the total number of oranges (apelsyniv) is 40, the total number of candies (tsukerok) is 360, and the total number of nuts (horiikhiv) is 160.

From this information, we can set up the following equations:

1. The number of oranges per child: 40/x 2. The number of candies per child: 360/x 3. The number of nuts per child: 160/x

Since each child received the same number of each item, these ratios should be equal. Therefore, we can set up the following equation:

40/x = 360/x = 160/x

To solve this equation, we can cross-multiply:

40 * x = 360 * x = 160 * x

Simplifying the equation, we get:

40 = 360 = 160

Since all three expressions are equal, we can conclude that x (the number of children) is equal to 40.

Therefore, there were 40 children at the Christmas tree.