Question

Вера съела в полтора раза больше конфет, чем Валя, а Саша съела на 2 конфеты меньше чем Вера. Сколько конфет съела Вера, если всего девочки съели 14 конфет?

Answer 1

Х кон съела Валя

1,5Х - кон. съела Вера

1,5Х - 2 - кон съела Саша

 

Х+1,5Х+1,5Х-2=14

4Х=14+2

Х=16:4

Х=4 кон съела Валя

4 х 1,5=6 кон съела Вера

6-2=4 кон съела Саша

Answer 2

Problem Analysis

We are given the following information: - Vera ate one and a half times more candy than Valya. - Sasha ate two candies less than Vera. - The total number of candies eaten by the girls is 14.

We need to determine how many candies Vera ate.

Solution

Let's assign variables to the unknown quantities: - Let V represent the number of candies Vera ate. - Let V/1.5 represent the number of candies Valya ate. - Let V/1.5 - 2 represent the number of candies Sasha ate.

We can set up the following equation to represent the total number of candies eaten by the girls:

V + V/1.5 + (V/1.5 - 2) = 14

Simplifying the equation:

1.5V + V + V - 2 = 14

Combining like terms:

3.5V - 2 = 14

Adding 2 to both sides:

3.5V = 16

Dividing both sides by 3.5:

V = 16/3.5

Evaluating the expression:

V ≈ 4.57

Since we cannot have a fraction of a candy, we can round the result to the nearest whole number.

Answer

Vera ate approximately 5 candies.

Explanation

Based on the given information, Vera ate one and a half times more candy than Valya. This means that if Valya ate V candies, Vera ate 1.5V candies. Sasha ate two candies less than Vera, so Sasha ate 1.5V - 2 candies. The total number of candies eaten by the girls is 14, so we can set up the equation V + 1.5V + (1.5V - 2) = 14. Solving this equation, we find that Vera ate approximately 5 candies.