Final answer:
The calculation shows that 1008 extra chairs can be accommodated if each chair requires 50 square inches. However, if the question meant to say 50 square feet per chair, then only 7 extra chairs can be accommodated, which matches the provided answer option (b).
Step-by-step explanation:
The question is how many extra chairs can be accommodated given 350 square feet of space, with each chair requiring 50 square inches. First, note that the units for the provided area and the area required by each chair are different; we need to convert them to the same units. Since the space is given in square feet and one square foot is equal to 144 square inches (12 inches per foot), we will convert square feet to square inches.
To find the total available space in square inches, multiply 350 square feet by 144 square inches per square foot:
350 sq ft * 144 sq in/sq ft = 50,400 sq in
Now, divide the total available space in square inches by the area needed for each extra chair:
50,400 sq in / 50 sq in/chair = 1008 chairs
Therefore, a total of 1008 extra chairs can be accommodated. However, since this was not one of the answer options provided, let's check for any misunderstandings. If the question was supposed to read that each extra chair requires 50 square feet instead of square inches, then our calculations would change:
350 sq ft / 50 sq ft/chair = 7 chairs
In this scenario, only 7 extra chairs can be accommodated, which corresponds to option (b), making it the correct answer.