Question

Катя нашла в 2 раза больше грибов, чем Петя. После того как Петя нашёл ещё 17 грибов, у ребят оказалось всего 89 грибов. Сколько грибов нашёл Пе- тя, а сколько — Катя?

Answer 1

Пусть х грибов нашёл Петя, тогда 2х грибов нашла Катя. Уравнение:

х + 17 + 2х = 89

х + 2х = 89 - 17

3х = 72

х = 72 : 3

х = 24

24 + 17 = 41 (гр.) - нашёл Петя

2х = 2 · 24 = 48 (гр.) - нашла Катя

Ответ: 41 гриб нашёл Петя и 48 грибов нашла Катя.

Answer 2

Problem Analysis

We are given that Katya found twice as many mushrooms as Petya. After Petya found an additional 17 mushrooms, the total number of mushrooms found by both of them was 89. We need to determine how many mushrooms Petya and Katya found individually.

Solution

Let's assume that Petya found x mushrooms. Since Katya found twice as many mushrooms as Petya, she found 2x mushrooms.

After Petya found an additional 17 mushrooms, the total number of mushrooms found by both of them was 89. We can set up the following equation:

x + 2x + 17 = 89

Simplifying the equation:

3x + 17 = 89

Subtracting 17 from both sides:

3x = 72

Dividing both sides by 3:

x = 24

Therefore, Petya found 24 mushrooms, and Katya found twice as many, which is 2 * 24 = 48 mushrooms.

So, Petya found 24 mushrooms, and Katya found 48 mushrooms.

Answer

Petya found 24 mushrooms, and Katya found 48 mushrooms.