Question

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

Answer 1

Было во второй кадке х
было в первой 4х
стало во второй х-10
стало в первой 4х-210
разница стала 20
составим уравнение
(х-10)-(4х-210)=20
х-10-4х+210=20
-3х=20+10-210
-3х=-180
х=-180:(-3)
х=60 к г было во второй
60*4=240 кг было в первой
==========================

х=

Answer 2

Problem Analysis

We are given two containers, one with four times more honey than the other. When 210 kg of honey is taken from the first container and 10 kg 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, the remaining amount is x - 210 kg. Similarly, when 10 kg of honey is taken from the second container, the remaining amount is (x/4) - 10 kg.

We are also told that the second container has 20 kg more honey than the first container. This can be expressed as:

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

Let's solve this equation to find the value of x.

(x/4) - 10 = x - 190

Multiply both sides of the equation by 4 to eliminate the fraction:

x - 40 = 4x - 760

Simplify the equation:

3x = 720

Divide both sides of the equation by 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 the first container was 240 kg, and the initial amount of honey in the second container was 60 kg.