Question

В олимпиаде по математике учавствовало 86 человек. Мальчиков было на 12 больше чем девочек. Сколько мальчиков учавствовало в олимпиаде? Пожалуйста помогите срочно надо! :(((

Answer 1

1) 86-12=74 человек участвовало в олимпиаде, если бы мальчиков и девочек было бы одинаковое количество
2) 74:2=37 девочек участвовало в олимпиаде
3) 37+12=49 мальчиков
Проверка
49+37=86 человек

Ответ 49 мальчиков участвовало в олимпиаде

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of boys who participated in the math Olympiad, given that there were 86 participants and the number of boys was 12 more than the number of girls.

Solution

Let's assume the number of girls who participated in the math Olympiad is x. According to the problem, the number of boys is 12 more than the number of girls. Therefore, the number of boys can be represented as x + 12.

The total number of participants is given as 86. So, we can write the equation:

x + (x + 12) = 86

Simplifying the equation, we get:

2x + 12 = 86

Subtracting 12 from both sides of the equation, we have:

2x = 74

Dividing both sides of the equation by 2, we get:

x = 37

Therefore, the number of girls who participated in the math Olympiad is 37. Since the number of boys is 12 more than the number of girls, the number of boys who participated is:

37 + 12 = 49

So, there were 49 boys who participated in the math Olympiad.

Answer

There were 49 boys who participated in the math Olympiad.

Please let me know if you need any further assistance!