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?

Answer 1

Пусть в корзине х кг. винограда  Тогда в ящике - 2х.В корзине стало Х+2 кг.
А тогда х+2 больше, чем 2х на 0.5 кг. Приравняем:  х+2-0.5=2х. Перенесем:
2х-х=1.5  х=1.5 кг в корзине. 2х=3 кг. в ящике.

Answer 2

Problem Analysis

Let's break down the information given in the problem: - Initially, there was twice as much grape in the box as in the basket. - After adding 2 kg of grape to the basket, there was 0.5 kg more grape in the basket than in the box.

We need to determine the amount of grape that was initially in the basket.

Solution

Let's assume the initial amount of grape in the basket is x kg. According to the problem, the amount of grape in the box is twice that of the basket, so the amount of grape in the box is 2x kg.

After adding 2 kg of grape to the basket, the total amount of grape in the basket becomes x + 2 kg. And it is mentioned that this amount is 0.5 kg more than the amount of grape in the box, which is 2x kg.

So, we can set up the following equation to solve for x:

x + 2 = 2x + 0.5

Now, let's solve this equation to find the value of x.

x + 2 = 2x + 0.5

Subtract x from both sides:

2 = x + 0.5

Subtract 0.5 from both sides:

1.5 = x

Therefore, the initial amount of grape in the basket was 1.5 kg.

Answer

The initial amount of grape in the basket was 1.5 kg.