Question

машинисты печатали рукопись.первый напечатал 4/9 от рукописи, второй машинист напечатал 1/3 от рукописи, а третий остальные 60 страниц.вопрос, сколько страниц было в рукописи.

Answer 1

пусть вся рукопись х ,тогда

напечатал первый 4/9х

напечатал второй 1/3х

напечатал третий 60 страниц

составим уравнение

х=4/9х+1/3х+60

х-4/9х-1/3х-60=0

2/9х-60

2/9х=60

х=60:2/9

х= 270 страниц всего в рукописи

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2 способ

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1)какую часть рукописи напечатали первый и второй вместе?

4/9+1/3= 7/9

2)какую часть рукописи напечатал третий?

1-7/9=2/9

3)вся рукопись

60*9:2= 270 страниц

Answer 2

Calculation of the Number of Pages in the Manuscript

To determine the number of pages in the manuscript, we need to calculate the sum of the pages printed by each of the three machine operators.

The first machine operator printed 4/9 of the manuscript, the second machine operator printed 1/3 of the manuscript, and the third machine operator printed the remaining 60 pages.

To find the total number of pages in the manuscript, we can add up the pages printed by each machine operator.

Let's calculate it step by step:

1. The first machine operator printed 4/9 of the manuscript. 2. The second machine operator printed 1/3 of the manuscript. 3. The third machine operator printed the remaining 60 pages.

To find the total number of pages, we can add up the pages printed by each machine operator:

4/9 + 1/3 + 60 = ?

To add fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 9 and 3 is 9.

Converting the fractions to have a denominator of 9:

4/9 + 3/9 + 60 = ?

Now we can add the fractions:

7/9 + 60 = ?

To add a fraction and a whole number, we need to convert the whole number to a fraction with a denominator of 9:

7/9 + 60/1 = ?

Now we can add the fractions:

7/9 + 540/9 = ?

Adding the numerators:

547/9 = ?

To simplify the fraction, we can divide the numerator by the denominator:

547 ÷ 9 = 60 remainder 7

Therefore, the total number of pages in the manuscript is 60 pages + 7/9 of a page.

Please note that the fraction 7/9 of a page cannot be further simplified without additional information about the size of the pages or the formatting of the manuscript.