Question

Для ремонта квартиры купили 23 рулона обоев.На спальную комнату потратили на 3 рулона обоев больше,чем на коридор.Для ремонта столовой обоев понадобилось в три раза больше,чем на ремонт коридора.Сколько рулонов обоев понадобиться для ремонта столовой? (Решить через систему)

Answer 1

Пусть Х - это количество обоев для коридора. Тогда для спальни будет 3+Х. А для столовой 3Х. Имеем следующее х+3Х+(3+х)=23
5х=23-3
Х=4. Это для коридора. Для столовой в три раза больше, а именно 12 рулонов. Ну и для спальни на 3 больше чем на коридор, а именно 7

Answer 2

Х на коридор
х+3 на спальную
у на столовую
система:
3х=у
х+х+3+у=23
решаем:
х+х+3+3х=23
5х=20
х=4
4*3=12 рулонов для столовой

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of wallpaper rolls required for the renovation of the dining room. We are given the following information:

- 23 rolls of wallpaper were purchased for the entire apartment. - The bedroom required 3 rolls more than the hallway. - The dining room required three times more rolls than the hallway.

Let's solve this problem using a system of equations.

Solution

Let's assume that the number of rolls required for the hallway is x.

According to the given information: - The bedroom required 3 rolls more than the hallway, so the number of rolls required for the bedroom is x + 3. - The dining room required three times more rolls than the hallway, so the number of rolls required for the dining room is 3x.

The total number of rolls required for the entire apartment is 23. Therefore, we can write the equation:

x + (x + 3) + 3x = 23

Simplifying the equation:

5x + 3 = 23

Subtracting 3 from both sides:

5x = 20

Dividing both sides by 5:

x = 4

So, the number of rolls required for the hallway is 4.

To find the number of rolls required for the dining room, we substitute the value of x into the equation for the dining room:

3x = 3 * 4 = 12

Therefore, 12 rolls of wallpaper will be required for the renovation of the dining room.

Answer

For the renovation of the dining room, 12 rolls of wallpaper will be required.