Question

A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piece. Fond the length of each piece.

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Answer 1

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Answer:

• 13 ft
• 86 ft

Explanation:

Let s represent the length of the short piece. Then the long piece is 6s+8, and the total length is ...

s +(6s+8) = 99

7s = 91 . . . . . . . . subtract 8, collect terms

s = 13 . . . . . . . . . divide by 7

99 -13 = 86 = 6(13)+8 . . . length of long piece

The short piece is 13 feet long; the long piece is 86 feet long.