Question

На трёх полках расставили 36 чашек . На верхней полке чашек вдвое больше, чем на нижней, а на средней-в 3 раза больше , чем на верхней. Сколько чашек на каждой полке? Помогите решить БЕЗ иксов и не уравнениями

Answer 1

Пусть 1 часть на нижней полке
тогда на верхней будет 1*2=2части
и на средней полке 2*3=6частей
1+2+6=9частей
36:9=4 чашки на нижней полке
4*2=8чашек на верхней полке
8*3=24чашки на средней полке

Answer 2

Problem Analysis

We are given three shelves with a total of 36 cups. The number of cups on each shelf is related to the cups on the other shelves. The number of cups on the top shelf is twice the number on the bottom shelf, and the number of cups on the middle shelf is three times the number on the top shelf. We need to determine the number of cups on each shelf.

Solution

Let's assume the number of cups on the bottom shelf is x. According to the given information: - The number of cups on the top shelf is twice the number on the bottom shelf, so it is 2x. - The number of cups on the middle shelf is three times the number on the top shelf, so it is 3(2x) = 6x.

We know that the total number of cups on all three shelves is 36. Therefore, we can write the equation:

x + 2x + 6x = 36

Simplifying the equation, we get:

9x = 36

Dividing both sides of the equation by 9, we find:

x = 4

Now that we have the value of x, we can determine the number of cups on each shelf: - The number of cups on the bottom shelf is x = 4. - The number of cups on the top shelf is 2x = 2(4) = 8. - The number of cups on the middle shelf is 6x = 6(4) = 24.

Therefore, there are 4 cups on the bottom shelf, 8 cups on the top shelf, and 24 cups on the middle shelf.

Answer

There are 4 cups on the bottom shelf, 8 cups on the top shelf, and 24 cups on the middle shelf.