Question

Паша и Володя пошли на рыбалку и взяли пакетик с червячками для наживки. На одного червячка можно поймать две или три рыбки. Мальчики разделили всех червячков поровну. Паша поймал 27 рыбок, а Володя 38 рыбок. Сколько всего было червячков? Ответ с решением

Answer 1

27:3=9 червячков у Паши
38:2=19 червячков у Володи
19+9=28 червячков было всего

Answer 2

28????????????????????????????????

Answer 3

Problem Analysis

Pasha and Volodya went fishing and took a bag of worms as bait. Each worm can catch two or three fish. The boys divided all the worms equally. Pasha caught 27 fish, and Volodya caught 38 fish. We need to determine how many worms there were in total.

Solution

Let's assume that there were x worms in total.

Since each worm can catch two or three fish, we can set up the following equation:

2x + 3x = 27 + 38

Simplifying the equation, we get:

5x = 65

Dividing both sides of the equation by 5, we find:

x = 13

Therefore, there were a total of 13 worms.

Answer

There were a total of 13 worms.

Solution Verification

To verify the solution, let's check if the number of worms and the number of fish caught by each boy match the given information.

Pasha caught 27 fish, and since each worm can catch two or three fish, he must have used 9 or 10 worms. Since the worms were divided equally, each boy would have received 4 or 5 worms. Therefore, Pasha must have used 9 worms.

Volodya caught 38 fish, and since each worm can catch two or three fish, he must have used 12 or 13 worms. Since the worms were divided equally, each boy would have received 6 or 7 worms. Therefore, Volodya must have used 13 worms.

The total number of worms used by both boys is 9 + 13 = 22, which matches the total number of worms we calculated earlier.

Therefore, the solution is verified.

Conclusion

The total number of worms used for fishing was 13.