本月机经第341题类似以下PP题目,提供各位同学参考,
并请同学了解解题思路,
切莫背诵答案。
A sum of $200,000 from a certain estate was divided among a spouse and three
children. How much did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child
received 1/4 of the reminder
(2) Each of the two younger children received 12,500 more than the oldest
child and 62500 less than the spouse
[解]假设母亲拿A,三个孩子(由大到小)分别拿B, C, D,
可以得到 A + B + C + D = 200,000。题干欲判断D值是否能求出。
(1)A=200,000*(1/2)=100,000,
B=100,000*(1/4)=25,000,
以上代入原式,
得到 100,000 + 25,000 + C + D = 200,000,
无法解出 C 与 D,
条件不充分;
(2)由条件可知,C = D = A - 62,500 = B + 12,500,
将四人都以C表示,
得到: A + B + C + D = ( C + 62,500 ) + ( C - 12,500 ) + C + C = 200,000,
C可以求出,D也可以求出。
条件充分;
选B。
※ 引述《SHAOCHU (月台上的观察员)》之铭言:
: 以下本月机经第341题为坊间详解内容不全的题目,
: KH尽可能试图将题目还原,提供给应考同学做参考!
: 341.一个妈妈和三个小孩,可以获得一笔抚卹金之类。问能否确定各自拿了多少?
: 1) 两个年龄大的小孩分别获得多少
: 2) 最小的小孩比两个大点的小孩多拿多少,然后比妈妈少拿多少。
: [观念]推测本题考验重点在方程式。
: [解]假设母亲拿A,三个孩子(由大到小)分别拿B, C, D,并且假设总和已知为S。
: 故A+B+C+D=S
: (1)已知B,C,但无法求得A与D,条件不充分;
: (2)条件可以将其他三人的金额以D表示,代入总和为S,即可求出D,条件充分;
: 选B。