Question

Оператор до обеда набрал 1/2всей рукописи ,после обеда 1/3 рукописи . к концу дня 7 страниц осталось ненабранными. сколько всего страниц?в фермерском хозяйстве 2/5 площади пастбища,а 1/4 посевы бахчевых культур. пастбища на 15 га больше чем бахчевых культур. сколько всего га земли.

Answer 1

Х страниц вся рукопись
1/2*х+1/3*х+7=х
1/6*х=7
х=7*6=42 страницы

х га вся площадь земли
2/5*х - 1/4*х=15
3/20 х=15
х=15*20/3=100 га земли

Answer 2

Problem 1: Number of Pages in the Manuscript

To find the total number of pages in the manuscript, we can set up an equation based on the information given.

Let's assume the total number of pages in the manuscript is represented by x.

According to the information given, the operator typed 1/2 of the manuscript before lunch and 1/3 of the manuscript after lunch. This means that the remaining 7 pages represent the remaining portion of the manuscript.

We can set up the equation as follows:

1/2x + 1/3x + 7 = x

To solve this equation, we can multiply through by the least common denominator, which is 6:

3x + 2x + 42 = 6x

Simplifying the equation:

5x + 42 = 6x

Subtracting 5x from both sides:

42 = x

Therefore, the total number of pages in the manuscript is 42.

Problem 2: Total Area of the Farm

To find the total area of the farm, we can set up an equation based on the information given.

Let's assume the total area of the farm is represented by x.

According to the information given, 2/5 of the farm is used as pasture and 1/4 is used for growing vegetable crops. It is also mentioned that the area used for pasture is 15 hectares more than the area used for vegetable crops.

We can set up the equation as follows:

(2/5)x = (1/4)x + 15

To solve this equation, we can multiply through by the least common denominator, which is 20:

8x = 5x + 300

Simplifying the equation:

8x - 5x = 300

3x = 300

Dividing both sides by 3:

x = 100

Therefore, the total area of the farm is 100 hectares.

Please let me know if there's anything else I can help you with!