
3. Колхоз продал государству гречихи в 5 раз меньше, чем ржи, а пшеницы – на 985 т больше, чем ржи.
Сколько тонн ржи продал колхоз государству, если всего было продано 6210 т зерна.

Ответы на вопрос




Calculation of the Amount of Rye Sold to the State by the Collective Farm
To calculate the amount of rye sold to the state by the collective farm, we need to use the information provided in the question. Let's break down the information step by step:
1. The collective farm sold buckwheat to the state at a quantity that was 5 times less than the amount of rye sold. 2. The collective farm also sold wheat to the state at a quantity that was 985 tons more than the amount of rye sold. 3. The total amount of grain sold by the collective farm to the state was 6210 tons.
Let's assign variables to the unknown quantities: - Let's call the amount of rye sold to the state as 'x' tons. - The amount of buckwheat sold to the state would then be 'x/5' tons. - The amount of wheat sold to the state would be 'x + 985' tons.
Now we can set up an equation to solve for 'x', the amount of rye sold to the state:
x + x/5 + (x + 985) = 6210
Simplifying the equation:
(5x + x + 5(x + 985))/5 = 6210
(7x + 5*985)/5 = 6210
Multiplying both sides of the equation by 5 to eliminate the fraction:
7x + 5*985 = 6210*5
7x + 4925 = 31050
7x = 31050 - 4925
7x = 26125
x = 26125/7
x ≈ 3732.14
Therefore, the collective farm sold approximately 3732.14 tons of rye to the state.
Please note that the result is an approximation since the original equation does not yield an exact whole number.


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