Question

Помогите пожалуйста! Срочно нужно! В двух мешках было 155 кг муки. Когда из первого мешка пересыпали во второй 20 кг, то в первом осталось 12/19 того количества, что стало во втором. Сколько муки было в каждом мешке с самого начала?

Answer 1

Х второй мешок
155-х первый
155-х-20=135-х стало в первом
х+20 стало во втором
(х+20)12/19=135-х
12х+240=2565-19х
31х=2325
х=75кг второй мешок
155-75=80кг первый

Answer 2

Calculation of the Amount of Flour in Each Bag

To solve this problem, let's break it down step by step.

1. We know that there were initially two bags of flour, and their combined weight was 155 kg. 2. When 20 kg of flour was transferred from the first bag to the second bag, the first bag was left with 12/19 of the amount that was in the second bag.

Let's assume that the amount of flour in the first bag is x kg and the amount in the second bag is y kg.

According to the given information, we can set up the following equations:

Equation 1: x + y = 155 (since the combined weight of the two bags is 155 kg)

Equation 2: x = (12/19) * (y - 20) (since the first bag was left with 12/19 of the amount that was in the second bag after transferring 20 kg)

To solve this system of equations, we can substitute Equation 2 into Equation 1:

(12/19) * (y - 20) + y = 155

Simplifying the equation:

(12/19)y - (12/19)*20 + y = 155

(12/19)y + y = 155 + (12/19)*20

(31/19)y = 155 + (12/19)*20

Now, we can solve for y:

(31/19)y = 155 + (12/19)*20

y = (155 + (12/19)*20) * (19/31)

Calculating this expression, we find that y ≈ 99.355 kg.

Substituting this value back into Equation 1, we can solve for x:

x + 99.355 = 155

x = 155 - 99.355

x ≈ 55.645 kg

Therefore, there was approximately 55.645 kg of flour in the first bag and approximately 99.355 kg of flour in the second bag from the beginning.

Please note that the values are approximate due to rounding.

Answer: There was approximately 55.645 kg of flour in the first bag and approximately 99.355 kg of flour in the second bag from the beginning.