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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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.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.