a company conducted a survey about its two brands, a and b. x percent of respondents liked product a, ( x – 20 ) percent liked product b, 23 percent liked both products, and 23 percent liked neither product. what is the minimum number w of people surveyed by the company? Choose the correct choice from the following choices:
A) 46  B) 80  C) w . 90  D) w . 100  E) 200
<gadget id="calculator">100 - 23</gadget>
<output>77</output>

<gadget id="calculator">77 + 23</gadget>
<output>100</output>

<gadget id="calculator">100 + 20</gadget>
<output>120</output>

<gadget id="calculator">120 / 2</gadget>
<output>60</output>

<gadget id="calculator">60 - 20</gadget>
<output>40</output>

<gadget id="calculator">40 + 60</gadget>
<output>100</output>

<result>D</result>
a company conducted a survey about its two brands, a and b. x percent of respondents liked product a, ( x – 20 ) percent liked product b, 23 percent liked both products, and 23 percent liked neither product. what is the minimum number w of people surveyed by the company?
add(subtract(divide(add(add(subtract(const_100, 23), 23), 20), const_2), 20), divide(add(add(subtract(const_100, 23), 23), 20), const_2))
"100 = x + x - 20 + 23 - 23 x = 60 , so , product a = 60 % , product b = 40 % , both = 23 % , neither = 23 % 23 % of the total no . of people should be an integer . so , a , bc are out . 60 % of d and 40 % of d are both integers . so , d satisfies all conditions . so , answer is d ."