Question

В правом кармане у Саши в 3 раза меньше камешков ,чем в левом.После того как найденные 5 камешков он положил в правый карман,в нем стало на 1 камешек больше,чем в левом.Сколько камешков было в левом кармане у Саши.

Answer 1

Пусть в правом кармане х камешков, тогда в левом 3х камешков
х+5=3х+1
х-3х= 1-5
-2х= -4
х=2 камня - в правом кармане
2*3 = 6 камней - в левом кармане

Answer 2

Х в левом кармане
х/3 в правом кармане
х/3+5=х+1
2/3*х=4
х=6 камешков

Answer 3

Problem Analysis

We are given the information that there are three times fewer stones in Sasha's right pocket than in his left pocket. After Sasha finds 5 stones and puts them in his right pocket, the number of stones in his right pocket becomes one more than the number of stones in his left pocket. We need to determine the number of stones that were initially in Sasha's left pocket.

Solution

Let's assume that the number of stones in Sasha's left pocket is x. According to the given information, the number of stones in Sasha's right pocket is three times fewer than in his left pocket, which means there are x/3 stones in his right pocket.

After Sasha finds 5 stones and puts them in his right pocket, the number of stones in his right pocket becomes one more than the number of stones in his left pocket. This can be expressed as:

(x/3) + 5 = x + 1

To solve this equation, we can multiply both sides by 3 to eliminate the fraction:

x + 15 = 3x + 3

Next, we can subtract x from both sides:

15 = 2x + 3

Then, we can subtract 3 from both sides:

12 = 2x

Finally, we can divide both sides by 2 to solve for x:

x = 6

Therefore, there were initially 6 stones in Sasha's left pocket.

Answer

There were initially 6 stones in Sasha's left pocket.