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How to count this

 

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

 Feb 25, 2023
 #1
avatar+16 
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Hello, 
 

Let's assume that there are "x" students who take both Chinese and Spanish, and "y" students who take only Spanish.

We know that the total number of students in South High School is 97, and that every student takes at least one language. Therefore, the number of students taking Chinese is "97 - y".

Also, we know that "there are more students in Chinese than in Spanish", so:

97 - y > y

Simplifying this inequality, we get:

97 > 2y

y < 48.5

Since "y" is a whole number, the largest value it can take is 48.

Now, we can use this value of "y" to find the number of students who take both Chinese and Spanish:

x + y = 97 - (97 - y)

x + y = y

x = 0

Therefore, there are 0 students who take both languages, if 48 students take only Spanish.

 Feb 25, 2023
 #2
avatar+33616 
+1

".... If  ?  students take only Spanish ..."  The number of students taking only Spanish is missing,

 Feb 25, 2023

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