Question

If on a scale drawing 55 feet are represented by 20 inches, then a scale of 1/8 inch represents how many feet?

Answer 1

first your take 55 and divide it by 20 to find out have many feet is equivalent to 1 inch.  2.75 feet is equivalent to 1 inch. then you divide that by 8 to find your 1/8 inch equivalent.  2.75/ 8 is equal to .34 feet per 1/8 inch. 

Answer 2

`(11)/(32)` or 0.34375 feet

Explanation:

On a scale drawing 55 feet are represented by 20 inches.

∵ 20 inches scale drawing = 55 feet

∴ 1 inch scale drawing =
`(55)/(20)`

=
`(11)/(4)`

∴
`(1)/(8)` inch scale drawing =
`(1)/(8)` ×
`(11)/(4)`

=
`(11)/(32)` or 0.34375 feet

The scale of
`(1)/(8)` inch represents
`(11)/(32)` feet.