Question

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

Answer 1

Х грибов-Саша
2х грибов - Дима
3х грибов - Саша
1)х+2х+3х=30
  6х=30
  х=30:6
  х=5
2)2*5=10(г.)-Дима
3)3*5=15(г.)-Саша 

Answer 2

____________30грибов__________________________
Коля Дима Саша
\------------\---------------------
\------------------\
Х х*2 х*3
х+х*2+х*3=30
х+2х+3х=30
6х=30
х=30:6
х=5грибов собрал Коля
5*2=10грибов собрал Дима
5*3=15грибов собрал Саша

Answer 3

Calculating the Number of Mushrooms Found by Each Person

To solve this problem, we can use a system of equations to represent the given information and solve for the number of mushrooms found by each person.

Let's denote: - The number of mushrooms found by Kolya as K - The number of mushrooms found by Dima as D - The number of mushrooms found by Sasha as S

We are given the following information: 1. Kolya, Dima, and Sasha together found 30 mushrooms. 2. Dima found 2 times more mushrooms than Kolya. 3. Kolya found 3 times fewer mushrooms than Sasha.

Using this information, we can set up the following equations:

1. K + D + S = 30 (Equation 1) (The total number of mushrooms found by all three)

2. D = 2K (Equation 2) (Dima found 2 times more mushrooms than Kolya)

3. K = S/3 (Equation 3) (Kolya found 3 times fewer mushrooms than Sasha)

Now, let's solve these equations to find the number of mushrooms found by each person.

Solving the Equations

Substitute the value of D from Equation 2 into Equation 1: K + 2K + S = 30 3K + S = 30 (Equation 4)

Substitute the value of K from Equation 3 into Equation 4: 3(S/3) + S = 30 S + S = 30 2S = 30 S = 15

Now that we have found the value of S (Sasha's mushrooms), we can find the values of K (Kolya's mushrooms) and D (Dima's mushrooms) using the given relationships: - K = S/3 - D = 2K

K = 15/3 K = 5

D = 2 * 5 D = 10

Conclusion

Based on the given information, the number of mushrooms found by each person is: - Kolya found 5 mushrooms - Dima found 10 mushrooms - Sasha found 15 mushrooms