FILE No.118Unsolved
Hiromi and Yuka are a very close mother and daughter (Yuka is Hiromi's daughter). They told the restaurant "two mothers and two daughters" and went to an all-you-can-eat barbecue. Everyone who came was either a mother or a daughter (or both), and no one else came. At the register they were told 5,685 yen. 5,685 yen does not divide evenly by 4. The all-you-can-eat price is the same for everyone, adult or child, male or female.
What is the price per person?
If you get stuck, open the hints one at a time, in order.
Does 5,685 divide by 4?
How do you count people when you say "two mothers and two daughters"?
For how many people does it divide evenly?
What is the price per person?
Choose the answer closest to the truth.
1,895 yen
The answer is "1,895 yen."
Even with "two mothers and two daughters," there need not be four people, because one person can be both a mother and a daughter. If the three people are Hiromi, Hiromi's daughter Yuka, and Yuka's daughter, then the mothers are Hiromi and Yuka, and the daughters are Yuka and Yuka's daughter: two mothers and two daughters. Since 5,685 yen does not divide by 4, there are 3 people. 5,685 ÷ 3 = 1,895 yen.
1,137 yen is the value for 5 people and 2,842 yen for 2 people, so the head counts do not match.
Because you assume "2 adults + 2 children = 4 people."
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