
Коля ,Дима и Саша собрали вместе 30 грибов. Дима нашёл в 2 раза больше грибов, чем Коля, а Коля -
в 3 раза меньше , чем Саша .Сколько грибов нашёл каждый из них?

Ответы на вопрос




Calculating the Number of Mushrooms Found by Each Person
To solve this problem, we can set up a system of equations based on the given information. Let's denote the number of mushrooms found by Kolya as K, by Dima as D, and by Sasha as S.
We are given the following information: 1. Kolya, Dima, and Sasha together found 30 mushrooms: - This can be represented as: K + D + S = 30.
2. Dima found twice as many mushrooms as Kolya: - This can be represented as: D = 2K.
3. Kolya found three times fewer mushrooms than Sasha: - This can be represented as: K = (1/3)S.
Now, we can use these equations to solve for the number of mushrooms found by each person.
Solving the Equations
Using the given information, we can solve the system of equations to find the number of mushrooms found by each person.First, we can substitute the value of D from the second equation into the first equation: K + 2K + S = 30, which simplifies to: 3K + S = 30.
Next, we can substitute the value of K from the third equation into the above equation: (1/3)S + 2(1/3)S + S = 30, which simplifies to: S/3 + 2S/3 + S = 30, 3S/3 + 2S/3 = 30, 5S/3 = 30, 5S = 90, S = 18.
Now that we have found the value of S, we can substitute it back into the third equation to find the value of K: K = (1/3) * 18, K = 6.
Finally, we can find the value of D using the second equation: D = 2 * 6, D = 12.
Conclusion
Based on the given information, we have found that: - Kolya found 6 mushrooms, - Dima found 12 mushrooms, and - Sasha found 18 mushrooms.

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