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350 students at High School High are currently enrolled in French, Spanish, or both French and Spanish

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350 students at High School High are currently enrolled in French, Spanish, or both French and Spanish. 230 students are currently enrolled in Spanish.

In the table, identify the number of students currently enrolled in French and the number of students currently enrolled in both French and Spanish. The two numbers must be consistent with each other and with the constraints above. Make exactly one choice in each column.
 

French French and Spanish Number
140
180
200
220
260
280

 

Official Answer

2 Answers

swan
1
Best answer
From the details given in the question:
          Total Number of students =  350
          Students enrolled in Spanish = 230
Solution:
          Students enrolled only in French: 350-230 = 120
          Let the number of students enrolled in both French and Spanish be "x"
          Therefore total number of students in French = 120+x
There is only one combination of numbers such that difference is 120, and those are 140,260
Therefore x = 140
Here we had to look at the available answers to select the correct choice, there is no way of find the absolute values from the information in the question.
answered Sep 16, 2014 by Student (41 points)
selected Sep 16, 2014 by
ghanjiku2
0
Let Number of students enrolled in French only = 350-230 =120
Number studetns enrolled in French and Spanish = 120 + X (any number)
And both cannot be same ....
There is some language problem
answered Sep 18, 2014 by Beginner (21 points)
1Comments
we would need to do some number crunching from the two tables provided to reach the final answer.
commented Sep 18, 2014 by Guru (5,625 points)
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