Scale: 1 box = 4 inches

Ana Maria needs to convert this scale drawing from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?
(1 point)

A. 6

B. 1.5

C. 9

D. 14

1 answer

To convert the scale from 1 box = 4 inches to 1 box = 2 inches, we first need to determine how many inches the original width corresponds to.

Given that the original width in the scale drawing is 3 boxes:

  • With the scale of 1 box = 4 inches, the width in inches is: \[ 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]

Now, we need to convert this width back to boxes using the new scale of 1 box = 2 inches:

  • We calculate the width in boxes for the new scale: \[ \text{Width in boxes} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \]

Thus, the width in boxes of the new drawing will be 6.

Correct answer: A. 6