Question

В трех шкафах выло 376 книг. В первом шкафу на 12 книг меньше, чем во втором, но на 17 книг больше, чем в третьем. Сколько книг было в каждом шкафу?

Answer 1

Пусть в первом х тогда во втором х+12, в третьем х+12-17=х-5. Зная, что всего 376 книг составим и решим ур-е
х+х+12+х-5=376
3х=376-7
3х=369
х=123
х+12=135
х-5=118
Ответ: на первой 123, на второй 135, на третьей 118

Answer 2

Problem Analysis

We are given three cabinets with a total of 376 books. The number of books in the first cabinet is 12 less than the number of books in the second cabinet, but 17 more than the number of books in the third cabinet. We need to find the number of books in each cabinet.

Solution

Let's assume the number of books in the third cabinet is x.

According to the given information: - The number of books in the first cabinet is 12 less than the number of books in the second cabinet. So, the number of books in the first cabinet is (x + 12). - The number of books in the first cabinet is also 17 more than the number of books in the third cabinet. So, the number of books in the first cabinet is (x + 17).

We can set up the following equation to represent the total number of books in the three cabinets:

(x + 12) + (x + 17) + x = 376

Simplifying the equation:

3x + 29 = 376

Subtracting 29 from both sides:

3x = 347

Dividing both sides by 3:

x = 115.67

Since the number of books must be a whole number, we can conclude that the number of books in the third cabinet is 115.

Now, we can find the number of books in the first and second cabinets:

- Number of books in the first cabinet = (x + 12) = 115 + 12 = 127 - Number of books in the second cabinet = (x + 17) = 115 + 17 = 132

Therefore, there are 127 books in the first cabinet, 132 books in the second cabinet, and 115 books in the third cabinet.

Answer

There are 127 books in the first cabinet, 132 books in the second cabinet, and 115 books in the third cabinet.