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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

  • Math -

    I played with a Venn Diagram for this one.

    I added up 38+ 38+46 and subtracted 103

    That leads me to believe that no one took all three languages.

  • Math -

    Typo... I subtracted 19 to get 103..

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