The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19.

(2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.


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.

考题讲解

题目分析:

(1)  k个人每人的费用为19美元,由于不知道k的值,不能计算总费用。

(2)  k+1个人每人的费用为18美元,由于不知道k的值,不能计算总费用。

结合条件1和条件2,设总费用为x,所以x/19+1=x/18,解得x=18*19=342美元。

因此,本题答案为(C),两个条件结合起来才能解题,任何单独一个均不行。

 

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