Anna Maria needs to convert the scale drawing from the scale of one box equals 4 inches to a scale of one box equals 2 inches. The width in the scale drawing shown is three boxes what will be the width in boxes of the new drawing will it be 14 six or nine or 1.5.
If one box in the original scale drawing equals 4 inches, and the width is three boxes, then the width would be 3 * 4 = <<3*4=12>>12 inches.
To convert this to a new scale of one box equals 2 inches, we need to divide the width in inches by 2 inches: 12 inches / 2 inches = <<12/2=6>>6 boxes.
So, the width in boxes of the new drawing will be 6. Answer: \boxed{6}.