Scale: 1 box = 15 feet Convert this scale drawing so that it has a scale of 1 box = 5 feet. The width in the scale drawing shown is 2 boxes. What will be the width in boxes of the new scale drawing?
To convert the scale from 1 box = 15 feet to 1 box = 5 feet, we need to adjust the scale factor.
The original scale factor is 15 feet per box, and we want to change it to 5 feet per box.
To find the new scale factor, we divide the original scale factor by the desired scale factor:
15 feet per box ÷ 5 feet per box = 3
Therefore, the new scale factor is 3.
To find the new width in boxes of the scale drawing, we multiply the original width (2 boxes) by the new scale factor (3).
2 boxes × 3 = 6
So, the width in boxes of the new scale drawing will be 6.
To convert the scale, we need to divide the original scale by 3, since 15 feet is three times greater than 5 feet.
1 box = 15 feet ÷ 3 = 5 feet
Therefore, the new scale will be 1 box = 5 feet.
Since the width in the original scale drawing is 2 boxes, the width in the new scale drawing will be:
2 boxes × 1 box = 2 boxes. Answer: \boxed{2}.
To convert the scale from 1 box = 15 feet to 1 box = 5 feet, we need to determine the ratio between the two scales.
The original scale is 1 box = 15 feet, and the new scale is 1 box = 5 feet.
So, we can set up a proportion to find the ratio between the scales:
(Original scale) / (New scale) = (Original width) / (New width)
Plugging in the known values, we get:
15 feet / 5 feet = 2 boxes / (New width in boxes)
Simplifying the proportion:
3 = 2 / (New width in boxes)
Now, we can solve for the new width in boxes:
New width in boxes = 2 / 3
Therefore, the width in boxes of the new scale drawing will be 2/3 of a box.
wrong.
Apologies for the confusion. Let's approach the problem again.
The original scale is 1 box = 15 feet, and we want to convert it to 1 box = 5 feet.
To convert the scale, we need to determine the ratio between the original scale and the new scale:
Original scale = 15 feet per box
New scale = 5 feet per box
To find the conversion factor, we divide the original scale by the new scale:
Conversion factor = Original scale / New scale
= 15 feet per box / 5 feet per box
= 3
This means that the new scale is 1/3 of the original scale.
To find the new width in boxes of the scale drawing, we divide the original width (2 boxes) by the conversion factor (3):
New width in boxes = Original width / Conversion factor
= 2 boxes / 3
= 2/3 of a box
Therefore, the width in boxes of the new scale drawing will be 2/3 of a box.