A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another surveyof 100 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?	Pick one:
A) 50 B) 100 C) 150 D) 200 E) 250
50% of n people from Eros prefer brand A.   50% of n is 50/100 x n = n/2.   60% of 100 people from Angie prefer brand A.   60% of 100 is 60/100 x 100 = 60.   Of the total n+ 100 people surveyed, n/2 + 60 prefer brand A.   Given that this is 55%,   we have   (n/2+60)/(n+100) x100 =55   Solving the equation   (n/2+60)/(n+100) x100= 55   (n/2+60) = 55/100x(n+100)   (n/2+60) = 11/20n+55   0 = 11n /20 –n/2+55-60   Now subtracting n/2 and 60 from both sides   0=n/20-5   Adding 5 on both sides   5=n/20   n=100   Hence, the total number of people surveyed is   n + 100= 
<gadget id="calculator"> + 100</gadget>
<output>100</output>
100 + 100= 
<gadget id="calculator">100 + 100</gadget>
<output>200</output>
200.   ANSWER:200
<result>D</result>
A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another surveyof 100 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?