Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,400 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”	Choose the correct choice from the following.
A) 312  B) 336  C) 364  D) 384  E) 420
The way I looked at is is as follows:   UserFriendly(UF) + FastResponse (FR) = 30%   UF leftover = 56 - 30= 
<gadget id="calculator">56 - 30</gadget>
<output>26</output>
26%   FR leftover= 48 - 30= 
<gadget id="calculator">48 - 30</gadget>
<output>18</output>
18%   Sum these= 74% (ie. 74% were either UF+FR, UF, FR)   26% leftover is the maximum number for Bargain Price   26/100 * 1400 = 26 * 14= 
<gadget id="calculator">26 * 14</gadget>
<output>364</output>
364 (364).
<result>C</result>
Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,400 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”