Final answer:
The width of the living room on the new blueprint is 4 inches.
Step-by-step explanation:
To find the width of the living room on the new blueprint, we can set up a proportion using the scale ratios. The given scale ratio is 2 inches = 3 feet, and the desired scale ratio is 1 inch = 6 feet.
Let's call the width of the living room on the new blueprint 'x' inches. Setting up the proportion, we have 2 inches / 3 feet = x inches / 6 feet. Cross-multiplying, we get 2 * 6 = 3 * x, which simplifies to 12 = 3x. Dividing both sides by 3, we find that x = 4 inches.
Therefore, the width of the living room on the new blueprint is 4 inches.