Question

A train at the local fair is 6 feet long. This is a 1;10 scale of a actual passenger train. You want to draw a mural that includes a 1:30 scale picture of the actual passenger train. Train at the fair scale 1:10 Length ft 6 Real passenger train scale 1:1. Length?? Mural of train Scale 1;30 Length?? Fair Train: Mural of Train =? :1

Answer 1

The actual passenger train is 60 feet long, the 1:30 scale mural of the train should be 2 feet long, and the scale ratio between the Fair Train and the Mural of the Train is 1:3.

Step-by-step explanation:

To determine the length of the actual passenger train from the train at the fair, which is a 1:10 scale model, we need to apply the scale factor. Since the model is 6 feet long, we can multiply this length by the scale factor (10) to find the real train's length: 6 feet × 10 = 60 feet. Thus, the actual train is 60 feet long.

Next, to find out what length the 1:30 scale mural of the train should be, we divide the actual train's length by the scale factor (30): 60 feet ÷ 30 = 2 feet. So, the mural will be 2 feet long.

To determine the scale comparison between the Fair Train and the Mural of the Train, we take the mural scale (1:30) and divide by the fair train scale (1:10). This gives us 1:10 ÷ 1:30 = 1:3. This means the fair train model is 3 times larger than the mural depiction would be.