Cat 2 Q12 - "French and Spanish"

[mzamkow]

Here's the question:

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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


When I attempted to solve the problem using a double-set matrix I seemed to be able to get multiple correct answers.

Scenario 1: choosing 180 for French, 140 for French & Spanish:

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   |  F  | NF  | T
S  | 140 | 90  | 230
NS | 40  | 80  | 120
T  | 180 | 170 | 350

Scenario 2: choosing 200 for French, 140 for French & Spanish

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   |  F  | NF  | T
S  | 140 | 90  | 230
NS | 60  | 60  | 120
T  | 200 | 150 | 350

What am I doing wrong?

[tim]

Based on the text you have quoted, it looks like you should have put a 0 in the Neither box (take a close look at what exactly you are told). Does this help?