
Редактор прочитал две пятых рукописи,что составило 80 страниц.На другой день он прочитал четверть
оставшихся страниц.Сколько страниц в рукописи?Сколько страниц еще не прочитано?

Ответы на вопрос

1) 80 х 5 : 2=200 страниц с рукописи
2) 200 - 80 = 120 страниц оставшиеся
3) 120 : 4 =30 страниц на 2 день
4) 80 + 30 = 110 страниц прочитал
5) 200 - 110 = 90 страниц ещё не прочитано



Question Analysis
The question asks for the total number of pages in the manuscript and the number of pages that have not been read yet. The editor has read two-fifths of the manuscript, which amounts to 80 pages. On the next day, the editor reads one-fourth of the remaining pages. We need to determine the total number of pages in the manuscript and the number of pages that have not been read yet.
Calculation
Let's calculate the total number of pages in the manuscript and the number of pages that have not been read yet.
Let's assume the total number of pages in the manuscript is x.
According to the information given, the editor has read two-fifths of the manuscript, which is equal to 80 pages. This can be represented as:
(2/5) * x = 80
To find the number of pages that have not been read yet, we need to subtract the pages that have been read from the total number of pages:
x - (2/5) * x = (3/5) * x
On the next day, the editor reads one-fourth of the remaining pages. This can be represented as:
(1/4) * (3/5) * x
Therefore, the number of pages that have not been read yet is:
(3/5) * x - (1/4) * (3/5) * x
Now, let's calculate the values.
Calculation
To find the total number of pages in the manuscript, we can solve the equation:
(2/5) * x = 80
Simplifying the equation:
2x/5 = 80
Multiplying both sides by 5:
2x = 400
Dividing both sides by 2:
x = 200
Therefore, the total number of pages in the manuscript is 200.
To find the number of pages that have not been read yet, we can calculate:
(3/5) * x - (1/4) * (3/5) * x
Substituting the value of x:
(3/5) * 200 - (1/4) * (3/5) * 200
Simplifying the expression:
120 - 30
Therefore, the number of pages that have not been read yet is 90.
Answer
The manuscript has a total of 200 pages. There are 90 pages that have not been read yet.


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