Question

В олимпиаде по математической лингвистике принимали участие - математики и гуманитарии. Мальчиков было 18, математиков было 24. сколько всего человек приняли участие в олимпиаде, если мальчиков- математиков было столько же, сколько девочек -гуманитариев ?

Answer 1

Давайте поймем, что мальчиков было столько же, сколько и гуманитариев.
мальчики=мальчики-гуманитарии + мальчики-математики.
А мальчиков-математиков=девочек-гуманитариев.
мальчики-гуманитарии+мальчики-математики=мальчики-гуманитарии+девочки-гуманитарии=гуманитарии.
Тогда гуманитариев было 18, а математиков 24, т.е всего 42.
Ответ:42

Answer 2

Calculation of the Total Number of Participants in the Mathematical Linguistics Olympiad

To calculate the total number of participants in the Mathematical Linguistics Olympiad, we need to determine the number of boys, mathematicians, girls, and humanitarians who took part in the competition.

Given the information provided, we know that there were 18 boys and 24 mathematicians. Additionally, we are told that the number of boys who are mathematicians is the same as the number of girls who are humanitarians.

Let's denote the number of girls as 'g' and the number of humanitarians as 'h'. Since the number of boys who are mathematicians is the same as the number of girls who are humanitarians, we can write the equation:

18 (boys) - 24 (mathematicians) = g (girls) - h (humanitarians)

Simplifying the equation, we get:

18 - 24 = g - h

-6 = g - h

Now, we need to find the total number of participants in the Olympiad. This can be calculated by adding the number of boys, mathematicians, girls, and humanitarians:

Total participants = boys + mathematicians + girls + humanitarians

Total participants = 18 + 24 + g + h

To find the value of 'g + h', we can substitute the equation we derived earlier:

Total participants = 18 + 24 + (-6)

Total participants = 42 - 6

Total participants = 36

Therefore, a total of 36 people participated in the Mathematical Linguistics Olympiad.