Question

Реши задачу со схемой. В трёх корзинах лежат 49 кубиков. В первой в 2 раза меньше, чем во второй и в 2 раза больше, чем в третьей. Сколько кубиков в каждой корзине?

Answer 1

Problem Analysis

We are given three baskets containing a total of 49 cubes. The number of cubes in the first basket is twice as small as the number in the second basket, and it is twice as large as the number in the third basket. We need to find the number of cubes in each basket.

Solution

Let's assume the number of cubes in the third basket is x. According to the problem, the number of cubes in the first basket is twice as small as the number in the second basket, and it is twice as large as the number in the third basket.

Therefore, we can write the following equations: - Number of cubes in the first basket = 2 * (Number of cubes in the third basket) - Number of cubes in the second basket = (Number of cubes in the third basket) / 2

We also know that the total number of cubes in all three baskets is 49. So we can write the equation: (Number of cubes in the first basket) + (Number of cubes in the second basket) + (Number of cubes in the third basket) = 49

Let's solve these equations to find the number of cubes in each basket.

Solution Steps

1. Let's assume the number of cubes in the third basket is x. 2. The number of cubes in the first basket is 2 * x. 3. The number of cubes in the second basket is x / 2. 4. The total number of cubes is (2 * x) + (x / 2) + x = 49. 5. Simplifying the equation, we get 4x + x + 2x = 98. 6. Combining like terms, we get 7x = 98. 7. Dividing both sides by 7, we get x = 14. 8. Therefore, the number of cubes in the third basket is 14. 9. The number of cubes in the first basket is 2 * 14 = 28. 10. The number of cubes in the second basket is 14 / 2 = 7.

Answer

There are 28 cubes in the first basket, 7 cubes in the second basket, and 14 cubes in the third basket.

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