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?
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.