Question

света маша и оля разделили между собой 80конфет света заметила что если она отдаст свои конфеты маше то у маши и оли станет поровну конфет а если отдаст свои конфеты оле то у оли станет в три раза больше конфет чем у маши сколько конфет было у светы?

Answer 1

Ответ:
20
Пошаговое объяснение:
80 - 40 - 20 = 20 конфет

Answer 2

Ответ:

20 конфет.

Пошаговое объяснение:

Если Света отдаст свои конфеты Маши, то у Маши станет 3/4 , а у Оли останется 1/4, значит:

3/4-1/4=2/4=1/2  конфет было у Маши.

3/4-2/4=1/4 было у Светы.

80×1/4=20 конфет было у Светы.

Ответ: 20 конфет.

Answer 3

Problem Analysis

Three friends, Sveta, Masha, and Olya, have divided 80 candies among themselves. Sveta noticed that if she gives her candies to Masha, then Masha and Olya will have an equal number of candies. However, if she gives her candies to Olya, then Olya will have three times as many candies as Masha. We need to find out how many candies Sveta initially had.

Solution

Let's assume that Sveta initially had x candies.

According to the given information: 1. If Sveta gives her candies to Masha, then Masha and Olya will have an equal number of candies. 2. If Sveta gives her candies to Olya, then Olya will have three times as many candies as Masha.

We can form the following equations based on the given information: 1. x - Sveta's candies 2. y - Masha's candies 3. z - Olya's candies

Equation 1: If Sveta gives her candies to Masha, then Masha and Olya will have an equal number of candies. - x - y = z

Equation 2: If Sveta gives her candies to Olya, then Olya will have three times as many candies as Masha. - x = y + 3z

We know that the total number of candies is 80: - x + y + z = 80

Now, we can solve these equations to find the value of x.

Solving the Equations

We can solve the system of equations to find the value of x.

Substituting the value of x from Equation 2 into Equation 1: - (y + 3z) - y = z - 3z = z - 2z = 0 - z = 0

Substituting the value of z into the total candies equation: - x + y + 0 = 80 - x + y = 80

Now, we have two equations: - x - y = 0 (from Equation 1) - x + y = 80 (from the total candies equation)

Adding these two equations: - 2x = 80 - x = 40

Answer

Sveta initially had 40 candies.