An apartment complex has 4 identical buildings. Each building has 10 studio apartments, 20 2 person apartments, and 5 4 person apartments. How many people live in the apartment complex if it has 75% of its maximum occupancy? Let's answer step by step:
First, we find out how many people live in each building. In addition to 10 1 person apartments, as a studio apartment is for a single person, there are 20 2 person apartments meaning there are 20 * 2 = 40 people capable of living there. We then find out how many people can live in the 4 person apartments by multiplying the number of available 4 person apartments by 4, performing 5 * 4 = 20 people capable of living there. So, in 1 building there is room for 10 + 40 + 20 = 70 people. We multiply this by the 4 buildings in total, finding a maximum occupancy of 4 * 70 = 280 people. We then multiply this by .75 to find out how many people would live there at 75% of maximum occupancy, performing 280 * .75 = 210 people. The answer: 210.