Answer:
If I am understanding the question correctly, every 6 feet in real life will be equivalent to 1 inch "on paper", or in the blueprint. Using dimensional analysis, which is a methodology for converting from one unit to another, we have:
18 feet * 1 inch / 6 feet = 3 inches
On the other axis,
24 feet * 1 inch / 6 feet = 4 inches
Therefore, the blueprint for this 18x24 foot room, with a scale of 6 feet:1inch, should be 3x4 inches.