A survey of n people in the town of Badaville found that 50 % of them prefer Brand A. Another survey of 100 people in the town of Chottaville found that 60% prefer Brand A. In total, 55% of all the people surveyed together prefer Brand A. What is the total number of people surveyed?

• the total no of people prefer brand A in Badaville = 0.5n
  the total no of people prefer brand A in chottaville = 60
  0.5n+60=(n+100)*0.55
  n=100
  Since n is the no of people surveyed in badaville
  therefore total no of people surveyed =200
• 6 years agoHelpfull: Yes(3) No(0)
• let total no. of people in badaville be x
  therefore, (50% of x) + (60% of 100) = 55%(100 + x)
  => 0.5x + 60 = 0.55x + 55
  => 0.55x - 0.50x = 60 - 55
  => 0.05x = 5
  => x = 100
  therefore, total number of people surveyed is = 100 +100 = 200
• 6 years agoHelpfull: Yes(1) No(0)
• 200
  if 50% of x + 60% of 100=(x+100)of 55%
  if we equate this then answer is 200
• 6 years agoHelpfull: Yes(0) No(0)