Question

В двух мешках было 75 кг крупы. осле того как из первого мешка продали 12кг, а из второго 18кг, в первом мешке крупы оказалось в 2 раза больше, чем во втором. Сколько килограммов крупы было в каждом мешке первоначально?

Answer 1

пусть х осталось во 2 мешке, значит 2х осталось в 1 мешке. Из первого мешка подали 12 кг, а из второго 18 кг и всего было в мешках 75 кг.

Можем составить уравнение: 2х+х+12+18=75

3х+30=75

3х=75-30

3х=45

х=15 это осталось во втором мешке,

а значит в первом 15х2=30

а т.к. продали из первого мешка 12 значит было 30+12=42

а из второго продали 18 значит было 15+18=33

Answer 2

Problem Analysis

We are given two bags of grain, and the total weight of the grain in both bags is 75 kg. After selling 12 kg from the first bag and 18 kg from the second bag, the amount of grain in the first bag is twice the amount in the second bag. We need to determine the initial weight of grain in each bag.

Solution

Let's assume the initial weight of grain in the first bag is x kg and the initial weight of grain in the second bag is y kg.

According to the given information: 1. The total weight of grain in both bags is 75 kg: x + y = 75. 2. After selling 12 kg from the first bag and 18 kg from the second bag, the amount of grain in the first bag is twice the amount in the second bag: (x - 12) = 2(y - 18).

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

Let's solve the system of equations using the substitution method.

From equation 1, we have x = 75 - y.

Substituting this value of x into equation 2, we get: (75 - y - 12) = 2(y - 18).

Simplifying the equation: 63 - y = 2y - 36.

Bringing all the terms involving y to one side: 3y = 99.

Dividing both sides by 3: y = 33.

Substituting this value of y into equation 1, we get: x = 75 - 33 = 42.

Answer

The initial weight of grain in the first bag was 42 kg, and the initial weight of grain in the second bag was 33 kg.

Please let me know if I can help you with anything else.