Question

Задача: Ребята получили на новогодней ёлке одинаковые подарки подарки. Во всех подарках вместе было 123 апельсина и 82 яблока. Сколько ребят присутствовала на ёлке? Сколько апельсинов и сколько яблок было в каждом подарке?

Answer 1

82:2=41 и 123:3=41. Значит,было 41 человек и досталось каждому по 2 апельсина и 3 яблока

Answer 2

Problem Analysis

We are given that the children received the same number of gifts at a New Year's tree. In all the gifts combined, there were 123 oranges and 82 apples. We need to determine the number of children present at the tree and the number of oranges and apples in each gift.

Solution

Let's assume there were x children present at the tree. Since each child received the same number of gifts, we can say that the number of gifts is equal to the number of children, which is x.

We are also given that in all the gifts combined, there were 123 oranges and 82 apples. Therefore, the total number of oranges and apples in all the gifts is equal to the sum of the number of oranges and apples in each gift multiplied by the number of gifts.

We can set up the following equations based on the given information:

Equation 1: Number of oranges in all gifts = Number of oranges in each gift × Number of gifts = 123 Equation 2: Number of apples in all gifts = Number of apples in each gift × Number of gifts = 82

Let's solve these equations to find the values of x (number of children), the number of oranges in each gift, and the number of apples in each gift.

Solution Steps

1. Solve Equation 1 for the number of oranges in each gift: - Number of oranges in each gift = Number of oranges in all gifts / Number of gifts = 123 / x

2. Solve Equation 2 for the number of apples in each gift: - Number of apples in each gift = Number of apples in all gifts / Number of gifts = 82 / x

3. Substitute the values of the number of oranges and apples in each gift into Equation 1 and Equation 2, respectively, to get two equations in terms of x: - (123 / x) × x = 123 - (82 / x) × x = 82

4. Simplify the equations: - 123 = 123 - 82 = 82

5. Since both equations are true, we can conclude that the number of children, x, can be any positive integer. Therefore, there is no unique solution for the number of children present at the tree.

6. However, we can calculate the number of oranges and apples in each gift using the equations from step 1 and step 2: - Number of oranges in each gift = 123 / x - Number of apples in each gift = 82 / x

Answer

Based on the given information, we cannot determine the exact number of children present at the tree. However, we can calculate the number of oranges and apples in each gift using the equations provided above.

- The number of oranges in each gift is 123 / x. - The number of apples in each gift is 82 / x.

Please note that the number of children, x, can be any positive integer.