Question
Jan Villaroel
Topic: Algebra Posted 1 year ago
A group of friends went out for dinner. The bill, including a 15% tip, came to $220. If the group split the bill equally, how many friends were there?

A group of friends went out for dinner. The bill, including a 15% tip, came to $220. If the group split the bill equally, how many friends were there?


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Koala Tutor
Oct 19, 2023
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Let x represent the number of friends.
The tip amount is $220 x 15/100 = $<<220*15/100=33>>33.
The total bill without the tip is $220 - $33 = $<<220-33=187>>187.
The bill per friend is $187 / x = $<<187/x=187>>187/x.
Each friend pays $187 / x + $33/x = $<<187/x+33/x=220/x=220>>220 / x.
Because the bill is split equally, 220 / x = 1.
The number of friends is x = 220 / 1 = <<220/1=220>>220. Answer: \boxed{220}.

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