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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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sqdancefan

9514 1404 393

Answer:

  • 13 ft
  • 86 ft

Step-by-step 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.

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