Question

Игорь, Саша, Коля и Паша ловили рыбу. Все вместе они поймали 40 пескарей. Игорь поймал на 4 пескаря больше, чем Саша, Саша- на 3 пескаря больше, чем Коля, Коля - на 2 пескаря больше, чем Паша. Сколько пескарей поймал каждый мальчик? Можно мне пожалуйста с объяснением? Помогите!

Answer 1

Problem Analysis

We are given that Igor, Sasha, Kolya, and Pasha caught a total of 40 pescaries. Igor caught 4 more pescaries than Sasha, Sasha caught 3 more pescaries than Kolya, and Kolya caught 2 more pescaries than Pasha. We need to determine how many pescaries each boy caught.

Solution

Let's assume that Pasha caught x pescaries.

According to the given information: - Kolya caught 2 more pescaries than Pasha, so Kolya caught x + 2 pescaries. - Sasha caught 3 more pescaries than Kolya, so Sasha caught (x + 2) + 3 = x + 5 pescaries. - Igor caught 4 more pescaries than Sasha, so Igor caught (x + 5) + 4 = x + 9 pescaries.

The sum of the number of pescaries caught by each boy is equal to 40: x + (x + 2) + (x + 5) + (x + 9) = 40

Simplifying the equation: 4x + 16 = 40 4x = 40 - 16 4x = 24 x = 24 / 4 x = 6

Therefore, Pasha caught 6 pescaries, Kolya caught 6 + 2 = 8 pescaries, Sasha caught 6 + 5 = 11 pescaries, and Igor caught 6 + 9 = 15 pescaries.

Answer

Each boy caught the following number of pescaries: - Pasha: 6 pescaries - Kolya: 8 pescaries - Sasha: 11 pescaries - Igor: 15 pescaries

I hope this explanation helps! Let me know if you have any further questions.