Question

На міський олімпіаді кільк. хлопчиків відносилась до кількості дівчат як 5:2 причому хлопців було на 12 більше ніж дівчат скільки хлопців і дівчат брали участь в олімпіаді

Answer 1

Ответ:

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Answer 2

Problem Analysis

We are given that the ratio of boys to girls in a city olympiad is 5:2. Additionally, there are 12 more boys than girls participating in the olympiad. We need to determine the number of boys and girls participating in the olympiad.

Solution

Let's assume the number of girls participating in the olympiad is x. According to the given information, the number of boys participating will be x + 12.

The ratio of boys to girls is given as 5:2. This means that the number of boys is 5 times the number of girls. Mathematically, we can represent this as:

Number of boys / Number of girls = 5/2

Substituting the values, we get:

(x + 12) / x = 5/2

To solve this equation, we can cross-multiply:

2(x + 12) = 5x

Simplifying further:

2x + 24 = 5x

24 = 5x - 2x

24 = 3x

x = 24 / 3

x = 8

Therefore, the number of girls participating in the olympiad is 8. Since there are 12 more boys than girls, the number of boys participating will be:

x + 12 = 8 + 12 = 20

So, there are 20 boys and 8 girls participating in the olympiad.

Answer

There are 20 boys and 8 girls participating in the city olympiad.