Answered

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On Halloween night, Mack collects x pieces of candy and then eats 7 pieces. The next day he eats 10% of his candy pieces and has 63 pieces remaining. How many pieces of candy did he collect on Halloween night?​

Sagot :

Building and solving an equation to model the situation, it is found that he collected 78 pieces of candy on Hallowen night.

  • Initially, he collected x pieces.
  • Ate 7, thus [tex]x - 7[/tex].
  • On the next day, eats 10%, and has 63 remaining, thus [tex]x - 7 - 0.1x = 63[/tex]

Solving for x, we find how many pieces of candy he collected, thus:

[tex]x - 7 - 0.1x = 63[/tex]

[tex]0.9x = 70[/tex]

[tex]x = \frac{70}{0.9}[/tex]

[tex]x = 77.8[/tex]

Rounding, he collected 78 pieces.

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