There are a total of 103 foreign language students in a high school where they offer Spanish, French, and German. There are 19 students who take at least 2 languages at once. If there are 38 Spanish students, 38 French students, and 46 German students, how many students take all three languages at once
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To find out how many students take all three languages at once, we can subtract the number of students who take only one language or two languages from the total number of foreign language students.
1. Find the number of students who take only one language:
- Number of Spanish students = 38
- Number of French students = 38
- Number of German students = 46
- Total number of students who take only one language = Number of Spanish students + Number of French students + Number of German students
2. Find the number of students who take two languages:
- Total number of foreign language students = 103
- Number of students who take at least 2 languages at once = 19
- Number of students who take two languages = Total number of students who take at least 2 languages at once - Number of students who take all three languages
3. Calculate the number of students who take all three languages:
- Number of students who take all three languages = Total number of foreign language students - Number of students who take only one language - Number of students who take two languages
By following these steps, you can determine the number of students who take all three languages at once.