
7 «А» классу, где учатся 34 человека, Иван решил показать фокус и попросил закрыт всех глаза.
Правый глаз закрыли все мальчики и 1/3 девочек. Левый глаз закрыли все девочки и 1/3 мальчиков. Сколько одноклассников Ивана подглядывали за ним во время фокуса? А. 10 Б. 12 В. 22 Г. 26 

Ответы на вопрос

Ответ: В



Task: Calculate the number of classmates who peeked at Ivan during his magic trick.
To solve this problem, let's break it down step by step.
1. Ivan asked everyone to close their eyes, and then he performed his magic trick. 2. He closed his right eye, and all the boys and 1/3 of the girls closed their right eyes. 3. He closed his left eye, and all the girls and 1/3 of the boys closed their left eyes.
To find the number of classmates who peeked at Ivan during his magic trick, we need to determine the number of boys and girls in the class.
Let's assume there are B boys and G girls in the class.
According to the information given, we can write the following equations:
1. Right eye closed: B + (1/3)G 2. Left eye closed: G + (1/3)B
We can solve these equations to find the values of B and G.
1. Multiply equation 1 by 3: 3B + G = 3B + (1/3)G 2. Multiply equation 2 by 3: 3G + B = 3G + (1/3)B
Simplifying these equations, we get:
1. 2G = 2B 2. 2B = 2G
Since the number of boys and girls must be equal, we can conclude that B = G.
Now, let's substitute B with G in one of the equations:
1. 2G = 2G
This equation is always true, which means there can be any number of boys and girls in the class as long as they are equal.
Therefore, we cannot determine the exact number of classmates who peeked at Ivan during his magic trick based on the information provided.
The correct answer is cannot be determined.


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