Correct option is B
Concept: The number of windows is inversely proportional to their sizes. This means:
Number of windows of size 2 feet is proportional to 1/2.
Number of windows of size 3 feet is proportional to 1/3.
Number of windows of size 4 feet is proportional to 1/4.
Let the proportional constant be k. Then:
Number of windows of size 2 = k / 2
Number of windows of size 3 = k / 3
Number of windows of size 4 = k / 4
Total number of windows: The total number of windows is 26. Hence, (k / 2) + (k / 3) + (k / 4) = 26
Simplify the equation: The least common multiple of the denominators (2, 3, and 4) is 12. Rewrite the equation: (6k / 12) + (4k / 12) + (3k / 12) = 26
Combine terms: (6k + 4k + 3k) / 12 = 26 13k / 12 = 26
Solve for k: Multiply both sides by 12: 13k = 312 k = 312 / 13 = 24
Calculate the number of windows of each size:
· Number of windows of size 2 = k / 2 = 24 / 2 = 12
· Number of windows of size 3 = k / 3 = 24 / 3 = 8
· Number of windows of size 4 = k / 4 = 24 / 4 = 6
Conclusion: The number of windows of the largest size (4 feet) is 6.
