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Question

In a large housing complex, there are 15 small buildings and 22 large building. Each of the large buildings has 10 floor 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.

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Solution

Number of large buildings = 22
Number of small buildings = 15
Number of floors in 1 large building = 10
Number of apartments on 1 floor = 2
∴ Total apartments in 1 large building = 10 × 2 = 20
Similarly,
​Total apartments in 1 small building = 12 × 3 = 36

∴​ Total apartments in the entire housing complex = (22 × 20) + (15 × 36)
= 440 + 540
= 980

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