
Бабушка на даче собрала вишни.Из 3/4 всей вишни сварили варенье, треть оставшихся вишен засушили, а
остальные 4 кг съели. Ско-ко вишни собрала бабушка?

Ответы на вопрос

3/4х+1/3(х-3/4х)+4=х
3/4х+1/3х-1/4х+4=х
2/4х+1/3х-х=-4
10/12х-х=-4
5/6х-х=-4
-1/6х=-4
1/6х=4
х=24
Ответ: 24 кг вишни собрала бабушка на даче.



4 кг - это 2/3, значит засушили 2 кг, получается 1/4 это 6 кг, следовательно бабушка собрала 24 кг



Calculation of the Amount of Cherries Collected by Grandma
To calculate the amount of cherries collected by Grandma, we need to follow the information provided in the question.
1. Step 1: Grandma made jam from 3/4 of all the cherries. 2. Step 2: She dried one-third of the remaining cherries. 3. Step 3: The remaining 4 kg of cherries were eaten.
Let's calculate the amount of cherries collected by Grandma step by step.
Step 1: Grandma made jam from 3/4 of all the cherries.
To find the amount of cherries used for making jam, we need to calculate 3/4 of the total cherries.
Let's assume the total amount of cherries collected by Grandma is represented by "x" kg.
The amount of cherries used for making jam is 3/4 of "x" kg.
Therefore, the amount of cherries used for making jam is (3/4) * x kg.
Step 2: Grandma dried one-third of the remaining cherries.
After making jam, there are still cherries left. We need to find the amount of cherries that remained after making jam.
The amount of cherries remaining after making jam is (1 - 3/4) * x kg.
Now, Grandma dried one-third of the remaining cherries.
The amount of cherries dried is (1/3) * [(1 - 3/4) * x] kg.
Step 3: The remaining 4 kg of cherries were eaten.
After drying cherries, there are still cherries left. We need to find the amount of cherries that remained after drying.
The amount of cherries remaining after drying is [(1 - 1/3) * (1 - 3/4)] * x kg.
According to the question, the remaining cherries after drying were eaten, and their weight is 4 kg.
Therefore, [(1 - 1/3) * (1 - 3/4)] * x = 4 kg.
Now, we can solve this equation to find the value of "x," which represents the total amount of cherries collected by Grandma.
Let's calculate the value of "x."
[(1 - 1/3) * (1 - 3/4)] * x = 4 kg.
Simplifying the equation:
[(2/3) * (1/4)] * x = 4 kg.
(2/12) * x = 4 kg.
(1/6) * x = 4 kg.
Multiplying both sides of the equation by 6:
x = 4 kg * 6.
x = 24 kg.
Therefore, Grandma collected 24 kg of cherries.
Please note that the calculation is based on the information provided in the question, and the result is derived from the given data.


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