Final answer:
Using the original scale of 2 inches=3 feet and converting to the new scale of 1 inch=5 feet, the width on the new blueprint does not match any of the given options. There might be a typo in the question or the options provided.
Step-by-step explanation:
The original scale on the blueprint was 2 inches = 3 feet. We want to convert this to a new scale of 1 inch = 5 feet. Let's assume the width on the original blueprint is x inches. This means the width in reality is (3/2)*x feet, since for every 2 inches on the blueprint, the actual width is 3 feet.
Now, we'll find how many inches this width would be on the new blueprint. If 1 inch on the new blueprint represents 5 feet, we divide the actual width by 5 to get the new blueprint width: y inches = ((3/2)*x feet) / 5 feet per inch.
Simplifying this, we get y = (3/2)*x / 5 = 3x/10 inches. To express y in the form required by the question (as some number times x), we can convert this to feet, so y = (3x/10) / 12 = 3x/120 feet. However, none of the options A) 7x feet, B) 3x feet, C) 5x feet, D) 6x feet, match this value, suggesting there might be a typo in the question or the options provided.