Question

Паша и Слава насобирали одинаковое число орехов. Паша отдал Славе 18 орехов, и у него осталось в 4 раз(-а) меньше, чем у Славы. Найди количество орехов, которое насобирал каждый мальчик.

Answer 1

Ответ:

Пошаговое объяснение:
Паша = Слава = х орехов

4(х - 18) = х + 18
4х - 72 = х + 18
4х - х = 18 + 72
3х = 90
х = 90 : 3
х = 30

Паша = Слава = (х) = 30 орехов каждый

30 - 18 = 12 (орехов) - стало у Паши
30 + 18 = 48 (орехов) - стало у Славы
48 : 12 = 4 (раза) - стало меньше у Паши

Answer 2

Problem Analysis

We are given that Pasha and Slava collected the same number of nuts. Pasha gave 18 nuts to Slava and was left with 4 times fewer nuts than Slava. We need to find the number of nuts collected by each boy.

Solution

Let's assume the number of nuts collected by each boy is represented by the variables P and S for Pasha and Slava, respectively.

According to the problem, Pasha gave 18 nuts to Slava and was left with 4 times fewer nuts than Slava. This can be expressed as:

P - 18 = (S - 18) / 4

Simplifying the equation, we get:

4P - 72 = S - 18

Rearranging the equation, we have:

4P = S - 18 + 72 4P = S + 54

Since we know that Pasha and Slava collected the same number of nuts, we can equate P and S:

P = S

Substituting this into the equation, we get:

4P = P + 54

Simplifying further, we have:

3P = 54

Dividing both sides by 3, we find:

P = 18

Therefore, Pasha collected 18 nuts, and since Pasha and Slava collected the same number of nuts, Slava also collected 18 nuts.

Answer

Pasha and Slava each collected 18 nuts.