Question

Я прочитал книгу за 3 дня 1 день прочитал 1/5 всей книги. во 2 день 1/6 часть остатка в 3 день 1/4 нового остатка и последние 30 страниц. Сколько страниц в книге? В какой день было прочитано больше?

Answer 1

Пусть целая книга - 1
1-1/5=4/5 - осталось после 1 дня
4/5*1/6=4/30=2/15 - прочитал во 2 день
4/5-2/15=(4*3-2)/15=10/15=2/3 - осталось после 2 дня
2/3*1/4=2/12=1/6 - прочитал в 3 день + 30 страниц
2/3-1/6=(4-1)/6=1/2 - составляют 30 страниц
х=30:1/2
х=60 - стр.- вся книга
понятно. что 1/4 книги + 30 страниц - больше всего и прочитано в 3 день
Ответ: 60 страниц, в 3 день прочитано больше

Answer 2

Calculation of the Number of Pages in the Book

To calculate the number of pages in the book, we need to analyze the information provided. Let's break down the information day by day:

- Day 1: Read 1/5 of the entire book. - Day 2: Read 1/6 of the remaining pages. - Day 3: Read 1/4 of the new remaining pages and the last 30 pages.

Let's assign variables to the unknowns: - Let's assume the total number of pages in the book is P. - On the first day, the number of pages read is P/5. - On the second day, the number of remaining pages is P - (P/5), and the number of pages read is (P - (P/5))/6. - On the third day, the number of new remaining pages is (P - (P/5)) - ((P - (P/5))/6), and the number of pages read is ((P - (P/5)) - ((P - (P/5))/6))/4.

To find the total number of pages, we can set up the equation:

(P/5) + ((P - (P/5))/6) + (((P - (P/5)) - ((P - (P/5))/6))/4) + 30 = P

Now, let's solve this equation to find the value of P.

Solution:

(P/5) + ((P - (P/5))/6) + (((P - (P/5)) - ((P - (P/5))/6))/4) + 30 = P

To simplify the equation, we can multiply through by the common denominator, which is 60:

(12P + 10(P - (P/5)) + 15((P - (P/5)) - ((P - (P/5))/6)) + 1800) / 60 = P

Simplifying further:

(12P + 10P - 2P + 15P - 3P + 15P/6 - 15P/30 + 1800) / 60 = P

Combining like terms:

(32P + 15P/6 - 15P/30 + 1800) / 60 = P

Multiplying through by 60 to eliminate the denominator:

32P + 15P/6 - 15P/30 + 1800 = 60P

Simplifying further:

32P + 10P - P + 1800 = 60P

Combining like terms:

41P + 1800 = 60P

Subtracting 41P from both sides:

1800 = 19P

Dividing both sides by 19:

P = 1800 / 19

Using a calculator, we find that P ≈ 94.74.

Therefore, the book has approximately 94 pages.

Calculation of the Day with the Most Pages Read

To determine the day with the most pages read, we need to compare the number of pages read on each day.

- On the first day, P/5 pages were read. - On the second day, (P - (P/5))/6 pages were read. - On the third day, ((P - (P/5)) - ((P - (P/5))/6))/4 + 30 pages were read.

To find the day with the most pages read, we can compare these values.

Comparing the values, we can see that the day with the most pages read is the third day.

Therefore, on the third day, more pages were read than on any other day.

Please note that the calculations provided are based on the information given and may not be exact due to rounding or other factors.