Question

Восемь машинисток за 4 дня набрали 640 страниц текста. Сколько страниц текста набирала одна машинистка за один день? Реши задачу выражением, 2 способами

Answer 1

Problem Analysis

We are given that eight typists typed 640 pages of text in four days. We need to determine how many pages of text one typist can type in one day. We can solve this problem using two different methods.

Method 1: Proportions

Let's assume that one typist can type x pages of text in one day. We can set up a proportion to solve for x:

8 typists / 4 days = 1 typist / 1 day

Using cross-multiplication, we can solve for x:

8 typists * 1 day = 4 days * 1 typist

8 typists = 4 typists * x

Simplifying the equation, we find:

x = 8 typists / 4 typists

x = 2 pages

Therefore, one typist can type 2 pages of text in one day.

Method 2: Division

Alternatively, we can solve this problem by dividing the total number of pages typed by the total number of typists and days:

Total pages / (Total typists * Total days) = Pages per typist per day

Substituting the given values, we have:

640 pages / (8 typists * 4 days) = Pages per typist per day

Simplifying the equation, we find:

640 pages / 32 = Pages per typist per day

20 pages = Pages per typist per day

Therefore, one typist can type 20 pages of text in one day.

Conclusion

Using both methods, we find that one typist can type either 2 pages or 20 pages of text in one day.