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

 Jun 11, 2022
 #1
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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   

 

 

 

cool cool cool       

 Jun 11, 2022

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