# Algebra I

It is the grand opening of a local supermarket. Every 5th customer will receive a coupon for a free turkey and every 7th customer will receive a coupon for a free half gallon of ice cream. If 400 customers come in on opening day, how many people will get both a coupon for a free turkey and a coupon for a free half gallon of ice cream?

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1. 5 and 7 are both prime

so every 35th customer will receive both

400 / 35 = ? ... no fractional customers

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posted by Scott

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posted by huong
3. Common factors of 5 and 7 in 400.

LCM of 5 and 7 is 35
400/35 = 11R3.
So there are 11 customers in the 400 who will get both.

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posted by NK

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