A small school has three foreign language classes, one in French, one in Spanish, and one in German. How many of the 34 students enrolled in the Spanish class are also enrolled in the French class?

(1)There are 27 students enrolled in the French class, and 49 students enrolled in either the French class, the Spanish class, or both of these classes.

(2) One-half of the students enrolled in the Spanish class are enrolled in more than one foreign language class.


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

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题目分析：

图中表示的集合为，左边椭圆表示参加西班牙语的学生，右边表示参加法语班的学生，中间相交的部分为既参加西班牙语班的又参加法语班的学生，设为y。本题求y。只参加西班牙语班的学生数为x，只参加法语班的学生数为z。西班牙语班的学生人数为x+y=34。

1520928467_5aa786d348989.png
1）    27人参加了法语班，即y+z=27，有49名学生参加了法语班，西班牙语班，或两门课，即x+y+z=49，因为x+y=34，所以z=15，所以y=12。有12个人同时参加了西班牙语班和法语班。题目得解。（2）    条件2中，参加西班牙语班的34人中，有17人参加了多语言课程，但不能确定具体参加法语班和德语班的有多少人，无法计算。因此，本题答案为（A），仅条件1可以解题，条件2不行。 

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