Question

На столе лежали тетради. Оля взяла половину всех тетрадей и ещё 2 тетради, Коля взял треть остатка, и на столе осталось 2 тетради. Сколько тетрадей взяла Оля?

Answer 1

х -- кол-во тетрадей тогда 1/2х+2 тетради которые взяла Оля , а 1/3х тетрадей взял Петя

получается уравнение

(1/2х+2)+1/3х+2=х

1/2х+1/3х-х=-2

-1/6х=-2

х=12

ответ всего 12 тетрадей

Answer 2

Calculating the Number of Notebooks Olga Took

To calculate the number of notebooks Olga took, we can follow the given information step by step.

1. Olga took half of all the notebooks and 2 more notebooks. 2. Kolya took a third of the remaining notebooks, and 2 notebooks were left on the table.

Let's denote the total number of notebooks as N.

Calculating Olga's Notebooks

Olga took half of all the notebooks (N/2) and 2 more notebooks, so the number of notebooks Olga took can be represented as: N/2 + 2

Calculating Kolya's Notebooks

Kolya took a third of the remaining notebooks, which can be represented as: (N - N/2 - 2)/3

Solving for the Total Number of Notebooks

Given that 2 notebooks were left on the table, we can set up the equation: N - (N/2 + 2) - (N - N/2 - 2)/3 = 2

Let's solve for N.

Solution

After solving the equation, we find that the total number of notebooks (N) is 18.

Calculating Olga's Notebooks (Revisited)

Now, let's calculate the number of notebooks Olga took using the value of N we found: N/2 + 2 = 18/2 + 2 = 9 + 2 = 11

Conclusion

Olga took 11 notebooks.