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There are 97 students in South High School.  South High School offers only Chinese and Spanish.  There are 5 more students in Chinese than in Spanish, and every student takes at least one language.  If \(37\)  students take only Spanish, then how many take both languages?

 Jan 25, 2022
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This is a Venn Diagram question.

 

If 37 students only take spanish, then there are 60 students who either take only Chinese or both. If there are 5 more students in Chinese than in Spanish, then there are 37 + 5 more students who only do Chinese.

 

This is true because no matter how many students take both Chinese and Spanish, it doesn't contribute to the fact that there are 5 more students who take Chinese than Spanish. Altogether there are 79 students who take one language, so there are 97 - 79 = 18 students who take both languages.

 

smiley

 Jan 25, 2022

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