Question

В двух мешках было 85кг крупы. после того как из первого мешка продали 15кг, а из второго 25кг, в первом мешке крупы оказалось в 2 раза больше, чем во втором. сколько кг крупы бало в каждом мешке первоначально?

Answer 1

15+25=40(кг)-продали 

85-40=45(кг)-осталось  

    Пусть  во втором мешке было х кг,тогда в первом - 2х кг , это равно 45 кг.    

    Составим уравнение :

     х+2х=45

     3х=45

      х=15(кг)- осталось во 2-ом  мешке.

  2*15=30(кг)-осталось в 1-ом мешке

  15+25=40(кг)-было во  2 -ом мешке  

  30+15=45(кг)-было в  1-ом мешке 

Answer 2

Problem Analysis

We are given that there were 85 kg of grain in two bags. After selling 15 kg from the first bag and 25 kg from the second bag, the amount of grain in the first bag was twice the amount in the second bag. We need to find 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 amount of grain in both bags is 85 kg: x + y = 85.2. After selling 15 kg from the first bag and 25 kg from the second bag, the amount of grain in the first bag is twice the amount in the second bag: x - 15 = 2(y - 25).

We can solve these two equations to find the values of x and y.

Solving the Equations

Let's solve the equations using the substitution method.

From equation 1, we have x = 85 - y.

Substituting this value of x in equation 2, we get: 85 - y - 15 = 2(y - 25).

Simplifying the equation: 70 - y = 2y - 50.

Bringing all the y terms to one side: 3y = 120.

Dividing both sides by 3: y = 40.

Substituting the value of y in equation 1, we get: x = 85 - 40 = 45.

Answer

The initial amount of grain in the first bag was 45 kg and in the second bag was 40 kg.

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