Question

In a large housing complex, there are 15 small
buildings and 22 large buildings. Each of the large
buildings has 10 floors with 2 apartments on each
floor. Each of the small buildings has 12 floors with
3 apartments on each floor. How many apartments
are there in all.​

Answer 1

Answer:

980

Step-by-step explanation:

Complete step-by-step solution:

Step 1: As per the given information in the question, the total number of large buildings are 22

in which each building has 10

floors with 2

apartments on each floor.

So, we will calculate the total number of floors in all 22

large buildings as shown below:

Total number of floors(large)=22×10

By multiplying on the RHS side of the above expression we get:

⇒Total number of floors(large)=220

Now as we know that each floor has 2

apartments so we will calculate the total number of apartments as shown below:

⇒Total number of apartments(large)=220×2

By multiplying on the RHS side of the above expression we get:

⇒Total number of apartments(large)=440

………………….. (1)

Step 2: Now, we know that the total number of small buildings are 15

in which each building has 12

floors with 3

apartments on each floor.

So we will calculate the total number of floors in all 15

small buildings as shown below:

Total number of floors(small)=15×12

By multiplying on the RHS side of the above expression we get:

⇒Total number of floors(small)=180

Now as we know that each floor has 3

apartments so we will calculate the total number of apartments as shown below:

⇒Total number of apartments(small)=180×3

By multiplying on the RHS side of the above expression we get:

⇒Total number of apartments(small)=540

………………….. (2)

Step 3: Now, calculating the total number of apartments by adding the total number of apartments in large and small buildings as shown below:

After adding equation (1) and (2) we get:

⇒Total number of apartments=440+540

After doing addition in the RHS side of the above expression we get:

⇒Total number of apartments=980

Total number of apartments are 980

.

Answer 2

Answer:

980

Step-by-step explanation:

There are 15 small building and each building has 12 floors with 3 apartments on each floor

12 × 3 = 36 (Number of Apartments in one small building)

36 × 15 = 540 (Number of Apartments altogether in small buildings)

There are 22 large buildings and each building has 10 floors and each floor has 2 apartments

10 × 2 = 20 (Number of Apartments in one large building)

20 × 22 = 440 (Number of Apartments altogether in large buildings)

Number of Apartments altogether = 540 + 440

= 970

Altogether there are 980 Apartments