SOLUTION: A certain type of gutter comes in 7-foot, 9-foot, and 11-foot sections. How many different lengths can be formed using three sections of gutter?

Question 1163969: A certain type of gutter comes in 7-foot, 9-foot, and 11-foot sections. How many different lengths can be formed using three sections of gutter?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

All lengths are odd numbers; the sum of three odd numbers is always an odd number.

Minimum length with three pieces: 3*7 feet = 21 feet.
Maximum length with three pieces: 3*11 feet = 33 feet.

It should be easy to see, by playing with the different lengths -- or by logical reasoning -- that a total length that is any odd number of feet between 21 and 33 inclusive is possible.

ANSWER: 7 different lengths -- 21, 23, 25, 27, 29, 31, and 33 feet.

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