Question

На трёх полках находится 175 книг. На первой полке находится в 3 раза больше книг,чем на второй, а на третьей-на 10 книг больше,чем на второй.Сколько книг на каждой полке?

Answer 1

Х (книг) на второй полке
3х  - на первой полке
х + 10 - на третьей полке
х + 3х + х + 10 = 175
5х = 175 - 10 = 165  х = 35 - на второй полке
35 х 3 = 105 книг  на первой полке
35 + 10 = 45  книг на третьей полке

Answer 2

Solution:

Let's solve this problem step by step.

1. Let's assume the number of books on the second shelf is represented by x.

2. According to the given information: - The number of books on the first shelf is 3 times the number of books on the second shelf. - The number of books on the third shelf is 10 more than the number of books on the second shelf.

3. We can represent the number of books on the first shelf as 3x and the number of books on the third shelf as x + 10.

4. The total number of books on all three shelves is 175, so we can create the equation: x + 3x + (x + 10) = 175

5. Solving for x: 5x + 10 = 175 5x = 165 x = 33

6. Now that we have the value of x, we can find the number of books on each shelf: - The number of books on the first shelf (3x) is 3*33 = 99. - The number of books on the second shelf (x) is 33. - The number of books on the third shelf (x + 10) is 33 + 10 = 43.

So, the number of books on each shelf is: - First shelf: 99 books - Second shelf: 33 books - Third shelf: 43 books

This solution satisfies the given conditions and adds up to the total of 175 books.

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