Question

2.(4 бали) У неділю шестикласники пішли в похід. Хлопців було в 3 рази більше ніж дівчат. Коли 4 хлопці і 4 дівчини пішли готувати вечерю, то хлопців залишилося у 4 рази більше, ніж дівчат. Скільки шестикласників йшло у похід? 3.(5 балів) Відновіть цифри у записі дії ділення без остачі:4.(4 бали). Є четверо друзів різного зросту: Андрій, Борис, Петро і Гриць. Розташуй їх за зростом якщо відомо що Борис не самий високий, але він вищий від Андрія та Грицька, а от Андрій не вищий від Грицька.

Answer 1

Answer 2:

To solve this problem, let's assign variables to the unknowns. Let's say the number of girls is represented by 'g' and the number of boys is represented by 'b'.

According to the problem, the number of boys is 3 times the number of girls. So we can write the equation: b = 3g.

When 4 boys and 4 girls went to prepare dinner, the number of boys left was 4 times the number of girls left. We can write the equation: (b - 4) = 4(g - 4).

To find the number of students who went on the hike, we need to solve these two equations simultaneously.

Let's substitute the value of 'b' from the first equation into the second equation:

(3g - 4) = 4(g - 4).

Now, let's solve this equation:

3g - 4 = 4g - 16 -g = -12 g = 12.

So, the number of girls is 12.

Now, let's substitute this value of 'g' back into the first equation to find the number of boys:

b = 3g b = 3 * 12 b = 36.

Therefore, the number of students who went on the hike is 12 girls + 36 boys = 48.

Answer 3:

To solve this problem, we need to arrange the four friends in order of height based on the given information.

We know that Boris is taller than Andriy and Hryts. Andriy is not taller than Hryts.

Let's consider the possible arrangements:

1. Boris, Andriy, Hryts, Petro 2. Boris, Hryts, Andriy, Petro 3. Andriy, Boris, Hryts, Petro 4. Andriy, Hryts, Boris, Petro 5. Hryts, Boris, Andriy, Petro 6. Hryts, Andriy, Boris, Petro

Based on the given information, Boris is not the shortest. So, options 1 and 2 can be eliminated.

Andriy is not taller than Hryts. So, options 3 and 4 can be eliminated.

Therefore, the only possible arrangement is: Hryts, Boris, Andriy, Petro.