Question

Машинистка за первый день работы напечатала 3/8 всез страниц рукописи, за второй день - 36% оставшегося числа страниц, после чего ей осталось напечатать еще 72 страницы. Сколько страниц в рукописи?

Answer 1

100-36=64% составляют 72 страницы

72:64=1,125 стр - 1% второго дня и оставшихся 72 страниц

1,125*100=112,5 стр - 36% второго дня и оставшиеся 72 страницы

1-3/8=5/8 всех страниц рукописи составляет второй день и 72 страницы

112,5:5=22,5 стр - 1/8 всех страниц рукописи

22,5*8=180 страниц в рукописи 

Answer 2

Calculation of the Number of Pages in the Manuscript

To determine the number of pages in the manuscript, we can break down the information provided:

- On the first day, the typist printed 3/8 of the total pages. - On the second day, the typist printed 36% of the remaining pages. - After the second day, the typist had 72 pages left to print.

To find the total number of pages, we can follow these steps:

1. Calculate the number of pages printed on the first day: - The typist printed 3/8 of the total pages. - Let's assume the total number of pages is represented by x. - Therefore, the number of pages printed on the first day is (3/8)x.

2. Calculate the number of pages remaining after the first day: - The typist has x - (3/8)x pages remaining. - Simplifying, we have (5/8)x pages remaining.

3. Calculate the number of pages printed on the second day: - The typist printed 36% of the remaining pages. - The percentage can be written as a decimal: 36% = 0.36. - Therefore, the number of pages printed on the second day is 0.36 * (5/8)x.

4. Calculate the number of pages remaining after the second day: - The typist has (5/8)x - 0.36 * (5/8)x pages remaining. - Simplifying, we have (0.64 * (5/8))x pages remaining.

5. Set up an equation to find the total number of pages: - The number of pages remaining after the second day is 72. - Therefore, we have the equation (0.64 * (5/8))x = 72.

To solve this equation and find the value of x, we can proceed as follows:

1. Multiply both sides of the equation by 8/5 to isolate x: - (8/5) * (0.64 * (5/8))x = (8/5) * 72. - Simplifying, we have 0.64x = 115.2.

2. Divide both sides of the equation by 0.64 to solve for x: - x = 115.2 / 0.64. - Simplifying, we find x = 180.

Therefore, the manuscript contains 180 pages.