Question

в корзине было в 2 раза меньше винограда,чем в ящике.После того как в корзину добавили 2 кг,в ней стало винограда на 0,5 кг больше,чем в ящике.Сколько винограда было в корзине?объясните пожалуйста

Answer 1

Обозначим число винограда в корзине за х
А число винограда в ящике за 2х
Составляем уравнение:
х+2=2х+0.5
х-2х=0.5-2
-х=-1.5
х=1.5
Ответ: в корзине было 1.5 кг винограда

Answer 2

Problem Analysis

We are given the following information: - The amount of grapes in the basket was half the amount in the box. - After adding 2 kg of grapes to the basket, there were 0.5 kg more grapes in the basket than in the box.

We need to determine the amount of grapes in the basket.

Solution

Let's assume the amount of grapes in the box is x kg. According to the given information, the amount of grapes in the basket is 0.5x kg.

After adding 2 kg of grapes to the basket, the amount of grapes in the basket becomes 0.5x + 2 kg.

We are also given that the amount of grapes in the basket after adding 2 kg is 0.5 kg more than the amount of grapes in the box. So we can set up the following equation:

0.5x + 2 = x + 0.5

Simplifying the equation, we get:

0.5x - x = 0.5 - 2

-0.5x = -1.5

Dividing both sides of the equation by -0.5, we get:

x = 3

Therefore, the amount of grapes in the box is 3 kg, and the amount of grapes in the basket is half of that, which is 1.5 kg.

Answer

There were 1.5 kg of grapes in the basket.

Explanation

Let's break down the solution step by step:

1. We assume the amount of grapes in the box is x kg. 2. According to the given information, the amount of grapes in the basket is 0.5x kg. 3. After adding 2 kg of grapes to the basket, the amount of grapes in the basket becomes 0.5x + 2 kg. 4. We are given that the amount of grapes in the basket after adding 2 kg is 0.5 kg more than the amount of grapes in the box. 5. Setting up the equation 0.5x + 2 = x + 0.5. 6. Simplifying the equation to 0.5x - x = 0.5 - 2. 7. Solving for x, we find x = 3. 8. Therefore, the amount of grapes in the box is 3 kg, and the amount of grapes in the basket is half of that, which is 1.5 kg.

I hope this explanation helps! Let me know if you have any further questions.