Question

В одной кадке было в 4 раза больше мёда,чем в другой.Когда из первой кадки взяли 210 кг мёда ,а из второй-10 кг,то во второй осталось на 20 кг больше,чем в первой.Сколько кг мёда было в каждой кадке вначале?

Answer 1

Х мед во II-ой кадке; 4х мед в I- ой кадке; 4х-210 стало во II-ой х-10 стало в I-ой (4х-210)+20=х-10 4х-210+20=х-10 3х=180 х=60кг во II-ой кадке 60*4=240кг в I-ой Ответ: 240

Answer 2

Problem Analysis

We are given two containers of honey, where one container has four times more honey than the other. When 210 kg of honey is taken from the first container and 10 kg is taken from the second container, the second container is left with 20 kg more honey than the first container. We need to determine the initial amount of honey in each container.

Solution

Let's assume the initial amount of honey in the first container is x kg. Since the second container has four times less honey, the initial amount of honey in the second container is x/4 kg.

According to the given information, when 210 kg of honey is taken from the first container and 10 kg is taken from the second container, the second container is left with 20 kg more honey than the first container. This can be expressed as:

(x/4) - 10 = x - 210 + 20

Simplifying the equation:

(x/4) - x = -210 + 20 + 10

-3x/4 = -180

Multiplying both sides of the equation by -4/3 to isolate x:

x = (-180) * (-4/3)

x = 240

Therefore, the initial amount of honey in the first container was 240 kg, and the initial amount of honey in the second container was 240/4 = 60 kg.

Answer

The initial amount of honey in each container was 240 kg in the first container and 60 kg in the second container.