a group of tourists is being led through a famous cathedral by a guide. one family of four is japenese, but at least three other tourist in the goup ar not. All but five of the group are american what is the least number of tourists that can be in this group?.
To find the least number of tourists in the group, we need to consider the given conditions:
1. There is a family of four who are Japanese.
2. At least three other tourists are not Japanese.
3. All but five of the group are American.
Let's analyze the given conditions step by step:
Condition 1: There is a family of four who are Japanese.
Since one family of four is Japanese, we can count these as four tourists.
Condition 2: At least three other tourists are not Japanese.
To satisfy this condition, we need to have a minimum of three tourists who are not Japanese. Let's consider these three tourists as non-Japanese.
Condition 3: All but five of the group are American.
This condition states that there are five tourists who are not American. Since we have already accounted for four Japanese tourists and three non-Japanese tourists, we need five tourists who are not American.
Now let's calculate the total number of tourists:
Japanese tourists = 4
Non-Japanese tourists = 3
Non-American tourists = 5
Total number of tourists = Japanese tourists + Non-Japanese tourists + Non-American tourists
Total number of tourists = 4 + 3 + 5
Total number of tourists = 12
Therefore, the least number of tourists in this group is 12.