Scale: 1 box = 15 feet.
Covert the scale drawing so that it has a scale of 1 box = 5 feet. The width in the scale drawing shows 2 feet. What is the width in boxes in the new scale drawing?
To convert the scale from 1 box = 15 feet to 1 box = 5 feet, you need to reduce the length of each box by a factor of 3 (since 15/5 = 3).
The width of 2 feet in the original scale drawing will now be reduced by a factor of 3 to give 2/3 feet in the new scale.
To find the width in boxes in the new scale drawing, divide 2/3 feet by 5 feet:
(2/3 feet) / (5 feet) = 2/3 * 1/5 = 2/15
So, the width in boxes in the new scale drawing is 2/15 boxes.
To solve this problem, we need to find the conversion factor between the two scales and use it to convert the width from the original scale to the new scale.
Given that the original scale is 1 box = 15 feet and the new scale is 1 box = 5 feet, we can find the conversion factor by dividing the original scale by the new scale:
Conversion factor = original scale / new scale
= (1 box / 15 feet) / (1 box / 5 feet)
= 1/3
Now, we can use the conversion factor to convert the width from the original scale to the new scale:
Width in boxes in the new scale = Width in the original scale * Conversion factor
= 2 feet * 1/3
= 2/3 ≈ 0.67 boxes
Therefore, the width in boxes in the new scale drawing is approximately 0.67 boxes.