Question

Помогите решить задачу. 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?

Answer 1

Пусть Коля нашел x грибов.
Тогда 2x - нашел Дима (Так как в два раза больше).
Так как Коля нашел в три раза меньше грибов, чем Саша, значит Саша нашел в 3 раза больше грибов, чем Коля? Именно, значит 3x - нашел Саша. Уравнение :
x+2x+3x=30
6x=30
x=5
5 грибов нашел Коля.
Значит Дима нашел : 5*2=10 грибов.
Значит Саша нашел: 5*3=15 грибов.
Проверим себя : 5+10+15=30 грибов. Все верно.

Answer 2

Это задача отрезками.1)1+2+3=6(частей всего) 2)30:6=5(грибов Коля) 3)5•2=10(грибов Дима) 4)5•3=15(грибов Саша)

Answer 3

Problem Analysis

We are given that Kolya, Dima, and Sasha collected a total of 30 mushrooms. Dima found twice as many mushrooms as Kolya, and Kolya found three times fewer mushrooms than Sasha. We need to determine how many mushrooms each of them found.

Solution

Let's assign variables to represent the number of mushrooms found by each person: - Let K represent the number of mushrooms found by Kolya. - Let D represent the number of mushrooms found by Dima. - Let S represent the number of mushrooms found by Sasha.

From the given information, we can write the following equations: 1. Dima found twice as many mushrooms as Kolya: D = 2K. 2. Kolya found three times fewer mushrooms than Sasha: K = (1/3)S. 3. The total number of mushrooms found is 30: K + D + S = 30.

We can solve this system of equations to find the values of K, D, and S.

Substituting equation 2 into equation 1, we get: D = 2(1/3)S = (2/3)S.

Substituting the values of D and K into equation 3, we get: (2/3)S + (1/3)S + S = 30.

Combining like terms, we have: (2/3 + 1/3 + 1)S = 30.

Simplifying the equation, we get: (6/3)S = 30.

Dividing both sides of the equation by 6/3, we get: S = 30 / (6/3) = 30 * (3/6) = 15.

Now that we know the value of S, we can substitute it back into equation 2 to find K: K = (1/3)S = (1/3) * 15 = 5.

Finally, we can substitute the values of K and S into equation 1 to find D: D = 2K = 2 * 5 = 10.

Therefore, Kolya found 5 mushrooms, Dima found 10 mushrooms, and Sasha found 15 mushrooms.

Answer

Kolya found 5 mushrooms, Dima found 10 mushrooms, and Sasha found 15 mushrooms.