Question

Решил задачу : На первом этаже корпуса в детском лагере живут 32 мальчика и 36 девочек. Все мальчики расселились в 8 комнатах поровну. Сколько комнат заняли девочки, если в каждой комнате их на 2 больше, чем мальчиков?

Answer 1

32:8= 4 мальчика в комнате
4+2= 6 девочек в комнате
36:6= 6 комнат занято девочками

Answer 2

Problem Analysis

We are given that there are 32 boys and 36 girls living on the first floor of a camp building. The boys are evenly distributed among 8 rooms, and each room has 2 more girls than boys. We need to determine how many rooms the girls occupy.

Solution

Let's assume that each room has x boys. Since there are 8 rooms in total, the total number of boys is 8x. We are also given that each room has 2 more girls than boys. Therefore, the number of girls in each room is x + 2.

To find the total number of girls, we can multiply the number of girls in each room by the number of rooms. This can be expressed as:

Total number of girls = (x + 2) * 8

We know that the total number of girls is 36. Therefore, we can set up the equation:

(x + 2) * 8 = 36

Simplifying the equation:

8x + 16 = 36 8x = 36 - 16 8x = 20 x = 20 / 8 x = 2.5

Since we cannot have a fraction of a boy, we can conclude that each room has 2 boys. Therefore, each room has 2 + 2 = 4 girls.

Answer

The girls occupy 4 rooms.

Explanation

We can verify our answer by substituting the value of x back into the equation:

(2 + 2) * 8 = 4 * 8 = 32

Therefore, there are 32 boys and 36 girls, which matches the given information.

Conclusion

In the given scenario, there are 32 boys and 36 girls living on the first floor of the camp building. The boys are evenly distributed among 8 rooms, and each room has 2 more girls than boys. Therefore, the girls occupy 4 rooms.