Question

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? Сделай чертеж к задаче и реши её.

Answer 1

X+x/3+2x/3=30
2x=30
x=15 Саша
x/3=5 Коля
2x/3=10 Дима

Answer 2

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 set up 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 collected is 30: K + D + S = 30.

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

Solving the Equations

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

Substituting equations 1 and 2 into equation 3, we get: (1/3)S + (2/3)S + S = 30.

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

So, Sasha found 30 mushrooms.

Substituting this value back into equation 2, we can find Kolya's number of mushrooms: K = (1/3)S = (1/3) * 30 = 10

So, Kolya found 10 mushrooms.

Substituting the values of K and S into equation 1, we can find Dima's number of mushrooms: D = 2K = 2 * 10 = 20

So, Dima found 20 mushrooms.

Answer

Based on the given information, Kolya found 10 mushrooms, Dima found 20 mushrooms, and Sasha found 30 mushrooms.

Diagram

Here is a diagram to help visualize the problem:

Kolya (K)   Dima (D)   Sasha (S)
   10          20          30

Please let me know if anything is unclear or if you need further assistance!