Bunuel
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)
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 BONDSSo, 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 STOCKSSolve our equation to get: (
number of investors who owned BONDS but NOT STOCKS) = 1,000 - (
r)
Answer: B