Question

В корзине было х кг винограда,что в два раза меньше,чем в ящике.После того как в корзину добавили 2,5 кг,в ней стала винограда на 1 кг больше,чем в ящике.Сколько винограда было в корзине?

Answer 1

X=1\2y;
x+2,5=y+1.

2x=y;
x+1,5=y.

2x=1,5+x
x=1,5=>y=3
Ответ:в корзине было 1,5кг винограда

Answer 2

Problem Analysis

We are given the following information: - The weight of grapes in the basket is x kg, which is half the weight of the box. - After adding 2.5 kg of grapes to the basket, the weight of grapes in the basket is 1 kg more than the weight of grapes in the box.

We need to find the weight of grapes in the basket.

Solution

Let's solve this problem step by step.

1. Let's assume the weight of grapes in the box is y kg. 2. According to the given information, the weight of grapes in the basket is x kg, which is half the weight of the box. So we have the equation: x = y/2.

Now, let's consider the second piece of information: 3. After adding 2.5 kg of grapes to the basket, the weight of grapes in the basket is 1 kg more than the weight of grapes in the box. So we have the equation: x + 2.5 = y + 1.

We can now solve these two equations to find the values of x and y.

Substituting the value of x from the first equation into the second equation, we get: y/2 + 2.5 = y + 1.

Simplifying the equation: y + 5 = 2y + 2.

Bringing all the terms to one side: 2y - y = 5 - 2, y = 3.

Now, substituting the value of y into the first equation, we get: x = 3/2, x = 1.5.

Therefore, the weight of grapes in the basket is 1.5 kg.

Answer: The weight of grapes in the basket is 1.5 kg.