Question

Машинистка перепечатала третью часть рукописи, потом еще 10 страниц. В результате она перепечатала половину рукописи. Сколько страниц в рукописи?

Answer 1

Х-страниц
уравнение  1\3х+10=1\2х
1\2х-1\3х=10
1\6х=10
х=60
в рукописи 60 страниц

Answer 2

Calculating the Number of Pages in the Manuscript

To calculate the number of pages in the manuscript, we can use the information provided. The train of thought is as follows:

1. The trainee transcribed a third of the manuscript and then an additional 10 pages. 2. As a result, she transcribed half of the manuscript.

Let's denote the total number of pages in the manuscript as x.

The equation representing the given information is: 1/3x + 10 = 1/2x

Now, we can solve for x to find the total number of pages in the manuscript.

Solving for the Total Number of Pages

To solve for x, we can use the equation: 1/3x + 10 = 1/2x

Subtracting 1/3x from both sides gives: 10 = 1/2x - 1/3x

Combining the terms on the right side: 10 = 1/6x

Multiplying both sides by 6 gives: 60 = x

So, the total number of pages in the manuscript is 60.

Therefore, the manuscript consists of 60 pages.