Question

В магазине имеется крупа трёх видов: гречка,перловкк,рис,всего 580 кг. Если бы продали 44 кг гречки,18 кг перловки и 29 кг риса, то масса крупы всех видов стала бв одинаковой. Сколько килограммов крупы каждого вида имеется в магазине ?

Answer 1

Problem Analysis

We are given that there are three types of grains in a store: buckwheat, pearl barley, and rice. The total weight of all the grains is 580 kg. If we sold 44 kg of buckwheat, 18 kg of pearl barley, and 29 kg of rice, the weight of all the grains would be equal. We need to find out how much of each type of grain is in the store.

Solution

Let's assume the weight of buckwheat is x kg, the weight of pearl barley is y kg, and the weight of rice is z kg.

According to the given information, the total weight of all the grains is 580 kg. So we have the equation:

x + y + z = 580 ---(1)

We are also given that if we sold 44 kg of buckwheat, 18 kg of pearl barley, and 29 kg of rice, the weight of all the grains would be equal. So we have the equation:

(x - 44) + (y - 18) + (z - 29) = (580 - 44 - 18 - 29) ---(2)

Simplifying equation (2), we get:

x + y + z - 44 - 18 - 29 = 489 x + y + z = 580 ---(3)

Comparing equations (1) and (3), we can see that they are the same. This means that the weight of each type of grain remains the same even after selling a certain amount.

Now, we can solve the equations (1) and (3) simultaneously to find the values of x, y, and z.

Calculation

Subtracting equation (1) from equation (3), we get:

(x + y + z) - (x + y + z) = 580 - 489 0 = 91

Since the equation 0 = 91 is not possible, it means that there is no solution to this problem. The given information is contradictory, and we cannot determine the weight of each type of grain in the store.

Therefore, we cannot determine how many kilograms of each type of grain are in the store.

If you have any further questions, feel free to ask.