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 48 students take only Spanish, then how many take both languages?

Guest Jun 11, 2022

#1**+1 **

This is impossible

To see why :

Scenarios

only S Both only C

48 0 49 → number taking C is only 1 more than taking S

48 1 48 → number taking C = number taking S

48 2 47 → number taking C = 1 less than those taking S

So......as the number taking both increases, the number taking C will be less than the number taking S

CPhill Jun 11, 2022