Final answer:
By setting up a system of equations with x representing one-bedroom apartments and y representing two-bedroom apartments, and solving for both variables, we determine there are 100 one-bedroom apartments and 150 two-bedroom apartments in the apartment complex.
Step-by-step explanation:
To determine how many apartments of each type there are in the apartment complex, we need to set up a system of equations based on the information provided.
Let x be the number of one-bedroom apartments, and y be the number of two-bedroom apartments. According to the question, the total number of apartments is 250, so we have: x + y = 250 (1)
It is also given that there are 50 more two-bedroom apartments than one-bedroom apartments, so we can write another equation as: y = x + 50 (2)
Now we will substitute equation (2) into equation (1) to solve for x:
x + (x + 50) = 250
2x + 50 = 250
2x = 200
x = 100
Now we will plug the value of x into equation (2) to find y:
y = 100 + 50
y = 150
Therefore, there are 100 one-bedroom apartments and 150 two-bedroom apartments in the apartment complex, making option A correct.