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  3. A group of 5,000 investors responded to a survey asking whether they owned stock

A group of 5,000 investors responded to a survey asking whether they owned stock

游客2025-02-24  9
问题 A group of 5,000 investors responded to a survey asking whether they owned stocks and whether they owned bonds. Of the group, 20 percent responded that they owned only one of the two types of investments. If r is the number of investors in the group who owned stocks but not bonds, which of the following represents the number of investors in the group who owned bonds but not stocks, in terms of r ?
选项 A、5,000 - r
B、1,000-r
C、r- 1,000
D、l,000r
E、(0.2)(5,000 - r)
答案 B
解析 Twenty percent of the 5,000 investors that responded to the survey said they owned either stocks or bonds, but not both. So the number of investors in that group is(0.20)(5,000), or 1,000. Given that r members of that group owned stocks but not bonds, the number of investors in that group who owned bonds but not stocks is 1,000 - r. Thus the correct answer is Choice B.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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