Use the image to answer the question. 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) Responses 14 14 9 9 1.5 1.5 6

1 answer

To convert the width from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches, you can follow these steps:

  1. Determine the width in inches: Given that the width in the scale drawing is 3 boxes and the scale is 1 box = 4 inches, you calculate the width in inches as follows: \[ 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]

  2. Convert to the new scale: Now, using the new scale of 1 box = 2 inches, you want to find out how many boxes will represent 12 inches: \[ \text{Number of boxes} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \]

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

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