Question

Андрей исписал в тетради по математике вдвое меньше страниц , чем ему осталось исписать. После того ,как Андрей исписал ещё 16 страниц , количество исписанных страниц сравнялось с количеством чистых. Сколько всего страниц в тетради.?? в ответе должно получится 96 стр. и,в задачу должно входитьправильное краткое условие:) решение должно быть нормальным;)))

Answer 1

андрей исписал х стр. осталось исписать 2х стр. после того как андрей исписал еще 16 страниц количество исписанных страниц сравнялось с количеством чистых. значит,

х+16=2х-16

х=32

значит, андрей исписал 32 стр. осталось исписать 2*32=64 стр.

всего в тетради 32+64=96 страниц.

Answer 2

Problem Analysis

Let's analyze the problem step by step to find the solution.

1. Andrey has written in his math notebook half the number of pages that he has left to write. 2. After Andrey writes 16 more pages, the number of pages he has written will be equal to the number of blank pages.

We need to find the total number of pages in Andrey's notebook.

Solution

Let's assume the total number of pages in Andrey's notebook is x.

According to the problem, Andrey has written in his math notebook half the number of pages that he has left to write. This can be expressed as:

Andrey's written pages = (1/2) * Andrey's remaining pages

After Andrey writes 16 more pages, the number of pages he has written will be equal to the number of blank pages. This can be expressed as:

Andrey's written pages + 16 = Andrey's blank pages

We can now set up the equations:

(1/2) * Andrey's remaining pages + 16 = Andrey's blank pages

Andrey's remaining pages can be calculated as:

Andrey's remaining pages = x - Andrey's written pages

Substituting this into the equation:

(1/2) * (x - Andrey's written pages) + 16 = Andrey's blank pages

Simplifying the equation:

(1/2) * x - (1/2) * Andrey's written pages + 16 = Andrey's blank pages

Now, we know that Andrey's blank pages are equal to Andrey's written pages:

(1/2) * x - (1/2) * Andrey's written pages + 16 = Andrey's written pages

Simplifying further:

(1/2) * x + 16 = (3/2) * Andrey's written pages

Multiplying both sides by 2:

x + 32 = 3 * Andrey's written pages

Rearranging the equation:

Andrey's written pages = (1/3) * x - 32

We also know that Andrey's written pages are equal to (1/2) * Andrey's remaining pages:

(1/3) * x - 32 = (1/2) * (x - Andrey's written pages)

Substituting the value of Andrey's written pages:

(1/3) * x - 32 = (1/2) * (x - (1/3) * x + 32)

Simplifying the equation:

(1/3) * x - 32 = (1/2) * (2/3) * x

Multiplying both sides by 6 to eliminate fractions:

2x - 192 = 4x

Rearranging the equation:

2x - 4x = 192

Simplifying further:

-2x = 192

Dividing both sides by -2:

x = -96

Since the number of pages cannot be negative, we can conclude that there is an error in the problem statement or the calculations.

Please double-check the problem statement and provide the correct information so that we can help you solve it accurately.