Final answer:
The number of two-piece swimsuits sold at Roobeezy department store is 105, which is found by subtracting the 45 one-piece swimsuits (30% of 150) from the total of 150 swimsuits.
Step-by-step explanation:
To calculate the number of two-piece swimsuits sold at Roobeezy department store, we can first determine how many one-piece suits were sold, since we know this is 30% of the total swimsuits sold. If the store sold 150 swimsuits last month, then the number of one-piece swimsuits is 30% of 150, which is:
0.30 × 150 = 45 one-piece swimsuits
Now, to find out how many two-piece swimsuits were sold, we subtract the number of one-piece suits from the total number of swimsuits:
150 (total swimsuits) - 45 (one-piece swimsuits) = 105 two-piece swimsuits
Therefore, the answer is (a) 105.