Question

на четырёх полках 180 книг. На первой полке в 2 раза больше книг, чем на второй, а число книг на третьей полке составляет 60 % от числа книг на второй полке и 2/3 от числа книг на четвёртой полке. Сколько книг на каждой полке???   ПОМОГИТЕ ПЖ ОЧЕНЬ НАДО))))

Answer 1

Problem Analysis

We are given that there are four shelves with a total of 180 books. The number of books on each shelf is related to the number of books on the other shelves through various conditions. We need to determine the number of books on each shelf.

Solution

Let's assign variables to represent the number of books on each shelf: - Let's call the number of books on the first shelf x. - The number of books on the second shelf will be x/2 (since it is twice as many as the first shelf). - The number of books on the third shelf will be 0.6 * (x/2) (since it is 60% of the number of books on the second shelf). - The number of books on the fourth shelf will be (2/3) * (180 - x - (x/2) - 0.6 * (x/2)) (since it is 2/3 of the remaining books after accounting for the first three shelves).

Now, we can set up an equation to solve for x: x + x/2 + 0.6 * (x/2) + (2/3) * (180 - x - (x/2) - 0.6 * (x/2)) = 180

Let's solve this equation to find the value of x.

Calculation

Simplifying the equation: x + x/2 + 0.6 * (x/2) + (2/3) * (180 - x - (x/2) - 0.6 * (x/2)) = 180 2x/2 + 0.6 * (x/2) + (2/3) * (180 - x - (x/2) - 0.6 * (x/2)) = 180 x + 0.3x + (2/3) * (180 - x - (x/2) - 0.6 * (x/2)) = 180 x + 0.3x + (2/3) * (180 - x - 0.5x - 0.3x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 x + 0.3x + (2/3) * (180 - 1.8x) = 180 **x + 0.3