
Задача:Коттеджный поселок построили за три года.За первый год сдали в эсплатацию 3/8 всех домов,во
второй год 4/5 оставшийся части,а в третье последние 9 домов ,Сколько домов было в Коттедженем поселке

Ответы на вопрос

все дома примем за 1
1-3/8= 5/8 остаток после того,как сдали дома в 1 ый год
5/8*4/5=20/40=1/2 всех домов сдали во 2 ой год
3/8+1/2=7/8 всех домов сдали в 1 и 2 год
1-7/8= 1/8 осталось в 3 год , т е 9 домов
9:1/8=72 дома всего



To solve this problem, let's break it down step by step.
Step 1: Calculate the number of houses in the first year
According to the problem, in the first year, 3/8 of all the houses were completed and put into operation. Let's represent the total number of houses in the cottage village as x. Therefore, the number of houses completed in the first year can be calculated as (3/8) * x.Step 2: Calculate the number of houses remaining after the first year
After the first year, 5/8 of the houses are still under construction. So, the number of houses remaining after the first year can be calculated as (5/8) * x.Step 3: Calculate the number of houses completed in the second year
In the second year, 4/5 of the remaining houses are completed and put into operation. Therefore, the number of houses completed in the second year can be calculated as (4/5) * (5/8) * x.Step 4: Calculate the number of houses remaining after the second year
After the second year, 1/5 of the houses are still under construction. So, the number of houses remaining after the second year can be calculated as (1/5) * (5/8) * x.Step 5: Calculate the number of houses completed in the third year
In the third year, the remaining 9 houses are completed and put into operation.Step 6: Calculate the total number of houses in the cottage village
To find the total number of houses in the cottage village, we need to add up the houses completed in each year and the remaining houses after the third year.Let's calculate it:
Total number of houses = (houses completed in the first year) + (houses completed in the second year) + (houses completed in the third year) + (houses remaining after the third year)
Total number of houses = (3/8) * x + (4/5) * (5/8) * x + 9 + (1/5) * (5/8) * x
Now, let's simplify the equation:
Total number of houses = (3/8) * x + (4/5) * (5/8) * x + 9 + (1/5) * (5/8) * x
Total number of houses = (3/8) * x + (1/2) * x + 9 + (1/8) * x
Total number of houses = (3/8 + 1/2 + 1/8) * x + 9
Total number of houses = (6/8) * x + 9
Total number of houses = (3/4) * x + 9
Therefore, the total number of houses in the cottage village is (3/4) * x + 9.
Please note that the value of x (the total number of houses) is not provided in the problem statement, so we cannot determine the exact number of houses in the cottage village without that information.
I hope this helps! Let me know if you have any further questions.


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