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# A group of 5,000 investors responded to a survey asking

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A group of 5,000 investors responded to a survey asking [#permalink]  20 May 2016, 18:10
Expert's post
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Question Stats:

73% (01:06) correct 26% (00:59) wrong based on 38 sessions
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 ?

A. 5,000

B. 1,000 - r

C. r - 1,000

D. 1,000r

E. (0.2)(5,000 - r)

Practice Questions
Question: 12
Page: 83
[Reveal] Spoiler: OA

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Re: A group of 5,000 investors responded to a survey asking [#permalink]  23 Apr 2019, 18:56
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Expert's post
sandy wrote:
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 ?

A. 5000
B. 1000 - r
C. r - 1000
D. 1000r
E. (0.2)(5000 - r)

Practice Questions
Question: 12
Page: 83

Let n = the number of investors who owned bonds but not stocks. We can create the equation:

5,000 x 0.2 = r + n

1000 - r = n

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Re: A group of 5,000 investors responded to a survey asking [#permalink]  12 Jun 2019, 08:52
Expert's post
sandy wrote:
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 ?

A. 5,000

B. 1,000 - r

C. r - 1,000

D. 1,000r

E. (0.2)(5,000 - r)

20% of 5,000 = 1,000

So, we know that 1,000 investors responded that they owned only one of the two types of investments

We can write: (number of investors who owned STOCKS but NOT BONDS) + (number of investors who owned BONDS but NOT STOCKS) = 1,000

Given: r is the number of investors in the group who owned STOCKS but NOT BONDS

So, we can write: (r) + (number of investors who owned BONDS but NOT STOCKS) = 1,000

Which of the following represents the number of investors in the group who owned BONDS but NOT STOCKS

Solve our equation to get: (number of investors who owned BONDS but NOT STOCKS) = 1,000 - (r)

Cheers,
Brent
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Re: A group of 5,000 investors responded to a survey asking   [#permalink] 12 Jun 2019, 08:52
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