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# Counting

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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 Spanish, and every student takes at least one language.  If $27$ students take only Spanish, then how many take both languages?

Jan 6, 2022

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I'm not sure, but there are 46 Spanish students and 51 Chinese students.

97 students speak at least one language.

27 of them are only Spanish. ONLY

Means (46 - 27 =) 19 students speak two languages (Spanish and Chinese).

But it could be more because some of the Chinese students can maybe speak two languages, there is no information about this.

x is the total of students that speak two languages.

So $$19 \leq x \leq 70$$ .

Jan 6, 2022
edited by Straight  Jan 6, 2022