1956 AMC 12 第 28 题
先试着解答 1956 AMC 12 第 28 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1956 AMC 12 解答，或核对答案。
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
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
- 1964 AMC 12
- 1965 AMC 12
- 1966 AMC 12
- 1967 AMC 12
- 1968 AMC 12
- 1969 AMC 12
- 1970 AMC 12
- 1971 AMC 12
- 1972 AMC 12
- 1973 AMC 12
- 1974 AMC 12
- 1975 AMC 12
- 1976 AMC 12
- 1977 AMC 12
- 1978 AMC 12
- 1979 AMC 12
- 1980 AMC 12
- 1981 AMC 12
- 1982 AMC 12
- 1983 AMC 12
- 1984 AMC 12
- 1985 AMC 12
- 1986 AMC 12
- 1987 AMC 12
- 1988 AMC 12
- 1989 AMC 12
- 1990 AMC 12
- 1991 AMC 12
- 1992 AMC 12
- 1993 AMC 12
- 1994 AMC 12
- 1995 AMC 12
- 1996 AMC 12
- 1997 AMC 12
- 1998 AMC 12
- 1999 AMC 12