SOLUTION: story problems are the worst for me could somebody help? An "N-gauge" train model is created using a scale of 1:160. If an actual train engine, the "K-4" an early twentieth cen

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Question 25095: story problems are the worst for me could somebody help?
An "N-gauge" train model is created using a scale of 1:160. If an actual train
engine, the "K-4" an early twentieth century engine, is 45 ft long, what is the length of an "N-gauge" model,of the model in inches?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
A scale of 1:160 means that 1 inch on the model is equivalent to 160 inches on the real train. You can use the given scale factor in a proportion to solve this problem. It's probably easier to work in inches, so convert 45 feet to inches.
(45 ft.)(12 in.per ft.) = 540 inches.
Now do the proportions. Let x = the length of the model engine.
1%2F160+=+x%2F540 Multiply both sides by 540.
540%2F160+=+x
x+=+3.375inches.