Question

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

Answer 1

Х+у=75
х-12=2*(у-18)
х-12=2у-36
х=2у-24
2у-24+у=75
3у=99
у=33
х=75-33=42 кг
в первом мешке 42кг, во втором 33кг

Answer 2

75-(12+18)=45(кг) крупы всего осталось
45:3=15(кг) крупы осталось во 2 мешке
15+18=33(кг)было во 2 мешке
15*2=30(кг) осталось в 1 мешке
30+12=42(кг) было в 1 мешке
Ответ: 42 кг и 33 кг крупы было в мешках

Answer 3

Problem Analysis

We are given two bags of flour with a total weight of 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 as much as in the second bag. We need to determine the initial amount of grain in each bag.

Solution

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

According to the given information: 1. The total weight of the two 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 as much as 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 y terms to one side: 3y = 99.

Dividing both sides by 3: y = 33.

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

Answer

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

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