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=<<20*2=40>>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=<<10+40+20=70>>70 people.

We multiply this by the 4 buildings in total, finding a maximum occupancy of 4*70=<<4*70=280>>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=210>>210 people.

# Answer

210
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
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?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
210
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?
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