1956 AMC 12 第 28 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
28.
J 先生将全部遗产留给妻子、女儿、儿子和厨师。女儿与儿子分得遗产的一半，二人所得之比为 比 。妻子所得是儿子的两倍。若厨师得到 ，则全部遗产为：
Mr. J left his entire estate to his wife, his daughter, his son, and the cook. His daughter and son got half the estate, sharing in the ratio of to His wife got twice as much as the son. If the cook received a bequest of then the entire estate was:
答案：D
小提示：
设女儿和儿子所得分别为 和
Let the daughter’s and son’s shares be and
大提示：
他们的 是遗产的一半，另一半等于妻子的 加
Their is half the estate, while the other half is the wife’s plus
解答：
设女儿得到 ，儿子得到 。两人共得到 ，即遗产的一半。妻子得到 ，所以由另一半可得 因此 ，全部遗产为 美元。
因此，正确答案是 D。
Let the daughter receive and the son Together they receive which is half the estate. The wife receives so the other half gives Thus and the whole estate is dollars.
Therefore, the correct answer is D.
其他年份的第 28 题
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