Question

2. Три рыбака поймали какое-то количество рыб. Первый рыбак выбросил 1 рыбу, взял себе третьего часть улова и ушел. Второй рыбак так же выбросил из остатка 1 рыбу, взял себе третьего часть улова и ушел. После того как, это же сделал третий рыбак, в ведре осталось 6 рыб. А сколько рыб было первоначально?

Answer 1

1) 6:2*3+1=10(р) было рыбы после второго рыбака. 2) 10:2*3+1=16(р) было рыбы после первого. 3) 16:2*3+1= 25 (р) было в начале. Ответ:25 рыбин.

Answer 2

Solution:

To solve this problem, we can work backward from the information given about the remaining fish in the bucket after the third fisherman took his share. We'll use the information provided to calculate the original number of fish caught by the three fishermen.

1. Calculate the Remaining Fish: - After the third fisherman took his share, there were 6 fish left in the bucket.

2. Third Fisherman's Actions: - The third fisherman took a third of the remaining fish and left 6 fish in the bucket.

3. Second Fisherman's Actions: - The second fisherman also took a third of the remaining fish, then discarded 1 fish, leaving a certain number of fish for the third fisherman.

4. First Fisherman's Actions: - The first fisherman took a third of the remaining fish, then discarded 1 fish, leaving a certain number of fish for the second fisherman.

5. Calculating the Original Number of Fish: - We can work backward from the 6 fish remaining to calculate the original number of fish caught by the three fishermen.

Calculation:

- Let's denote the original number of fish as X. - After the first fisherman took his share, there were (2/3)X - 1 fish left for the second fisherman. - After the second fisherman took his share, there were (2/3)((2/3)X - 1) - 1 fish left for the third fisherman. - Given that the third fisherman took a third of the remaining fish and left 6 fish, we have the equation: (2/3)((2/3)X - 1) - 1)/3 = 6.

Solving for X:

- Let's solve for X using the equation: (2/3)((2/3)X - 1) - 1)/3 = 6.

- First, simplify the equation: - (2/3)((2/3)X - 1) - 1 = 18 - (4/9)X - 2/3 - 1 = 18 - (4/9)X - 5/3 = 18 - (4/9)X = 18 + 5/3 - (4/9)X = 59/3 - X = (59/3) / (4/9) - X = (59/3) * (9/4) - X = 59/4 - X = 14.75

Conclusion:

- The original number of fish caught by the three fishermen was 14.75.

(#1)