Question

Решите пожалуйста 3).У першому мішку в 2 рази більше борошна, ніж у другому. Коли з першого мішка взяли 35 кг борошна, то в обох мішках борошна ствло порівну. Скільки кг борошна було в кожному мішку спочатку?

Answer 1

1 мешок=2х, 2 мешок=х. 2х-35=х; х=35. В 1 мешке-70, во 2 мешке-35

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial amount of flour in each bag. We are given that the first bag has twice as much flour as the second bag. We are also told that when 35 kg of flour is taken from the first bag, the remaining flour in both bags is equal. Let's assume the initial amount of flour in the second bag is x kg.

Solution

Let's set up an equation based on the given information and solve for the initial amount of flour in each bag.

1. The first bag has twice as much flour as the second bag: - Amount of flour in the first bag = 2 * Amount of flour in the second bag - Let's represent the amount of flour in the second bag as x kg. - Therefore, the amount of flour in the first bag is 2x kg.

2. When 35 kg of flour is taken from the first bag, the remaining flour in both bags is equal: - Amount of flour in the first bag after taking 35 kg = Amount of flour in the second bag after taking 35 kg - The amount of flour in the first bag after taking 35 kg is (2x - 35) kg. - The amount of flour in the second bag after taking 35 kg is (x - 35) kg.

3. The remaining flour in both bags is equal: - (2x - 35) kg = (x - 35) kg

Now, let's solve the equation to find the value of x, which represents the initial amount of flour in the second bag.

(2x - 35) = (x - 35) 2x - 35 = x - 35 2x - x = -35 + 35 x = 0

The initial amount of flour in the second bag is 0 kg.

Since the first bag has twice as much flour as the second bag, the initial amount of flour in the first bag is 2 * 0 kg = 0 kg.

Therefore, the initial amount of flour in each bag is 0 kg.

Answer: The initial amount of flour in each bag was 0 kg.