Question

"В доме 100 квартир ( одно, двух и трех комнатные).Однокомнатные квартиры состравляют 1/4 часть всех квартир, а двухкомнатные - 3/5 оставшихся квартир. Сколько в этом доме трехкомнатных квартир?"

Answer 1

30..............................................................

Answer 2

Calculating the Number of Three-Room Apartments in the Building

To calculate the number of three-room apartments in the building, we can follow these steps:

1. Calculate the Number of One-Room Apartments: - One-room apartments constitute 1/4 of all apartments in the building.

2. Calculate the Number of Two-Room Apartments: - Two-room apartments make up 3/5 of the remaining apartments after the one-room apartments are taken into account.

3. Determine the Number of Three-Room Apartments: - Finally, we can calculate the number of three-room apartments by subtracting the total number of one-room and two-room apartments from the total number of apartments in the building.

Calculation Steps

1. Calculate the Number of One-Room Apartments: - Let's assume the total number of apartments in the building is represented by the variable T. - The number of one-room apartments is given by (1/4) * T.

2. Calculate the Number of Two-Room Apartments: - The remaining apartments after considering the one-room apartments are T - (1/4) * T = (3/4) * T. - The number of two-room apartments is given by (3/5) * (3/4) * T.

3. Determine the Number of Three-Room Apartments: - The number of three-room apartments is the remaining apartments after considering the one-room and two-room apartments, which is T - [(1/4) * T + (3/5) * (3/4) * T].

Calculation

Let's perform the calculation using the given information: - Total number of apartments in the building, T = 100.

1. Calculate the Number of One-Room Apartments: - Number of one-room apartments = (1/4) * 100 = 25.

2. Calculate the Number of Two-Room Apartments: - Number of two-room apartments = (3/5) * (3/4) * 100 = 45.

3. Determine the Number of Three-Room Apartments: - Number of three-room apartments = 100 - (25 + 45) = 30.

Conclusion

So, in the building with 100 apartments, there are 30 three-room apartments.