Question

Имеющиеся 175 книг решили разместить на трех полках так, чтобы на нижней полке было вдвое меньше книг, чем на средней, и на 25 меньше, чем на верхней. Сколько книг надо поставить на нижнюю полку?

Answer 1

X-25+x+ x-25/2=175/*2
2x-50+2x+x-25=350
5x=425
x=85-2polka
85-25=60-1polka
60/2=30-3polka

Answer 2

Calculating the Number of Books on Each Shelf

To solve this problem, we can use algebra to represent the relationships between the number of books on each shelf. Let's denote the number of books on the top, middle, and bottom shelves as T, M, and B respectively.

According to the given conditions: 1. B = (1/2)M (There are half as many books on the bottom shelf as on the middle shelf) 2. B = T - 25 (There are 25 fewer books on the bottom shelf than on the top shelf) 3. T + M + B = 175 (The total number of books is 175)

We can use these equations to solve for the number of books on each shelf.

Solving for the Number of Books on Each Shelf

Let's solve the system of equations to find the values of T, M, and B.

Using the first equation B = (1/2)M, we can substitute B in the second equation: (1/2)M = T - 25

Now, we can substitute B in the third equation: T + M + (1/2)M = 175

Solving these equations will give us the values of T, M, and B.

Calculating the Number of Books on the Bottom Shelf

After finding the values of T, M, and B, we can determine the number of books that need to be placed on the bottom shelf.

Let's proceed with the calculations.