Question

в двух амбарах было 3090 кг. зерна. Когда из первого амбара взяли 470 кг. зерна, а из второго в 4 раза больше, то во втором амбаре зерна не осталось. сколько зерна осталось в первом амбаре?

Answer 1

Problem Analysis

We are given that there were a total of 3090 kg of grain in two barns. From the first barn, 470 kg of grain was taken, and from the second barn, four times more grain was taken. We need to determine how much grain is left in the first barn.

Solution

Let's assume that the amount of grain in the first barn is x kg. Since four times more grain was taken from the second barn, the amount of grain taken from the second barn is 4 * 470 kg = 1880 kg.

The total amount of grain taken from both barns is 470 kg + 1880 kg = 2350 kg.

We can set up the following equation to represent the total amount of grain in both barns: x + 1880 kg = 3090 kg

To find the amount of grain left in the first barn, we need to solve for x.

Calculation

Let's solve the equation to find the value of x:

x + 1880 kg = 3090 kg

Subtract 1880 kg from both sides of the equation:

x = 3090 kg - 1880 kg

x = 1210 kg

Answer

Therefore, there are 1210 kg of grain left in the first barn.

Verification

To verify our answer, let's calculate the total amount of grain taken from both barns:

470 kg + 1880 kg = 2350 kg

And the total amount of grain in both barns:

1210 kg + 1880 kg = 3090 kg

Our calculations match the given information, so our answer of 1210 kg is correct.