Ayana made a scale drawing of the auditorium. The scale she used was 5 inches : 3 feet. The actual length of the stage is 51 feet. How long is the stage in the drawing?
First, we need to convert the length of the stage from feet to inches. Since there are 12 inches in a foot, the length of the stage in inches is 51 * 12 = <<51*12=612>>612 inches.
Next, we need to determine the scale factor. The scale factor is the number we multiply the actual length by to find the length in the drawing. In this case, the scale factor is 5 inches : 3 feet.
To find the length of the stage in the drawing, we need to multiply the actual length by the scale factor. The length in the drawing is 612 inches * (5 inches / 3 feet) = <<612*(5/3)=1020>>1020 inches. Answer: \boxed{1020}.