Bot GPT 4-o mini To find the width in boxes of the new drawing with a scale of 1 box = 2 inches, we first need to calculate the total width in inches from the current scale drawing.
Given:
- The current width in boxes is 3 boxes.
- The current scale is 1 box = 4 inches.
Calculating the total width in inches: \[ \text{Total width in inches} = \text{Width in boxes} \times \text{Scale in inches/box} = 3 \text{ boxes} \times 4 \text{ inches/box} = 12 \text{ inches} \]
Now, we need to convert this total width into the new scale of 1 box = 2 inches. To do this, we can find out how many boxes correspond to 12 inches with the new scale: \[ \text{Width in boxes (new scale)} = \frac{\text{Total width in inches}}{\text{New scale in inches/box}} = \frac{12 \text{ inches}}{2 \text{ inches/box}} = 6 \text{ boxes} \]
Therefore, the width in boxes of the new drawing will be 6.
The correct response is: \[ \boxed{6} \]
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