Question

8. Насти на новогодней елке было 19 игрушек шарики, звездочков и фонари. Из них 10 игрушек не шарики, а звёздочек на 2 меньше, чем шариков Сколько фонариков было на елке? ​

Answer 1

Ответ:

3 фонарика

Пошаговое объяснение:

19

10 игрушек не шарики соответственно

9шариков звёздочки на 2 меньше

9-2 7

7+9=16

16-19=3

Answer 2

Problem Analysis

We are given that there were 19 decorations on the Christmas tree, including balls, stars, and lanterns. Out of these decorations, 10 were not balls, but stars. The number of stars is 2 less than the number of balls. We need to determine the number of lanterns on the tree.

Solution

Let's assume the number of balls on the tree is x. According to the given information, the number of stars is 2 less than the number of balls, so the number of stars is x - 2.

We know that there were 19 decorations in total, so we can write the equation:

x + (x - 2) + number of lanterns = 19

Simplifying the equation, we get:

2x - 2 + number of lanterns = 19

Now, let's solve for x:

2x - 2 + number of lanterns = 19

2x + number of lanterns = 21

Since we don't have the exact value of x, we cannot determine the exact number of lanterns. However, we can provide a range of possible values for the number of lanterns.

Let's consider a few scenarios:

1. If there are no lanterns on the tree (number of lanterns = 0), then the equation becomes:

2x = 21

In this case, there is no solution because 21 is an odd number and cannot be divided evenly by 2.

2. If there is one lantern on the tree (number of lanterns = 1), then the equation becomes:

2x + 1 = 21

Solving for x, we get:

2x = 20

x = 10

So, if there is one lantern on the tree, there are 10 balls and 7 stars.

3. If there are two lanterns on the tree (number of lanterns = 2), then the equation becomes:

2x + 2 = 21

Solving for x, we get:

2x = 19

x = 9.5

Since the number of balls and stars should be whole numbers, this scenario is not valid.

Therefore, based on the given information, there can be either 10 balls, 7 stars, and 2 lanterns on the tree, or there is no solution.

Please let me know if you need any further clarification.