
На трех полках находится 175 книг. На первой полке находится в 3 раза больше, чем на второй, а на
третьей на 10 книг больше, чем на второй. Сколько книг на каждой полке? можно ли решить без уравнения???

Ответы на вопрос




Problem Analysis
We are given three shelves with a total of 175 books. The number of books on the first shelf is three times the number of books on the second shelf, and the number of books on the third shelf is 10 more than the number of books on the second shelf. We need to find the number of books on each shelf.Solution
Let's assume the number of books on the second shelf is x.According to the given information: - The number of books on the first shelf is three times the number of books on the second shelf, so it is 3x. - The number of books on the third shelf is 10 more than the number of books on the second shelf, so it is x + 10.
The total number of books on all three shelves is 175, so we can write the equation:
x + 3x + (x + 10) = 175
Simplifying the equation: 5x + 10 = 175
Subtracting 10 from both sides: 5x = 165
Dividing both sides by 5: x = 33
Now we can find the number of books on each shelf: - The number of books on the first shelf is 3x = 3 * 33 = 99. - The number of books on the second shelf is x = 33. - The number of books on the third shelf is x + 10 = 33 + 10 = 43.
Therefore, there are 99 books on the first shelf, 33 books on the second shelf, and 43 books on the third shelf.
Answer: There are 99 books on the first shelf, 33 books on the second shelf, and 43 books on the third shelf.


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