Question

Света, Маша и Оля раз­де­ли­ли между собой 60 кон­фет. Света за­ме­ти­ла, что если она от­даст все свои кон­фе­ты Маше, то у Маши и Оли ста­нет по­ров­ну кон­фет, а если она от­даст все свои кон­фе­ты Оле, то у Оли ста­нет в три раза боль­ше кон­фет, чем у Маши. Сколь­ко кон­фет было у Светы? За­пи­ши­те ре­ше­ние и ответ.

Answer 1

Пошаговое объяснение:

1) 60:2=30 шт.

2) 60:3=20 шт.

3) 60-(30+20)=10 шт.

ответ: 10 конфет было у Светы.

Answer 2

Problem Analysis

In this problem, we are given that Svetа, Masha, and Olya have divided 60 candies among themselves. Svetа noticed that if she gives all her candies to Masha, then Masha and Olya will have an equal number of candies. However, if she gives all her candies to Olya, then Olya will have three times as many candies as Masha. We need to determine how many candies Svetа initially had.

Solution

Let's assume that Svetа initially had x candies.

According to the problem, if Svetа gives all her candies to Masha, then Masha and Olya will have an equal number of candies. This can be represented by the equation:

x - x = (60 - x) / 2

Simplifying the equation, we get:

0 = 60 / 2 - x / 2

0 = 30 - x / 2

x / 2 = 30

x = 60

So, Svetа initially had 60 candies.

Answer

Svetа initially had 60 candies.