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 Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?

• .5*n+.6*100=.55*(n+100)
  n=100
  total people surveyed=n+100
  =100+100
  =200
• 9 years agoHelpfull: Yes(24) No(0)
• badavilla=50% from 100
  chotavilla=60% from 100
  total=110 from 200
  55% of 200 is also 110
  so total number of survey is 200
  
• 9 years agoHelpfull: Yes(7) No(0)
• totl people in both towns=100+n
  people who prefers brand A=(50/100)*n+(60/100)*100=X
  55%people of both towns combined prefers brand A=55/100(n+100)=Y
  given,X=Y
  solving we get n=100 and so total people surveyed=100+100=200
• 9 years agoHelpfull: Yes(1) No(0)
• n/2 people in badaville prefar brand A
  60 people in chotaville prefared brand A
  sum=60+(n/2)
  in total survey=(55+0.55n) prefared brand A
  so,60+(n/2)=55+(0.55n)
  n=100
  total people=100+100=200
• 9 years agoHelpfull: Yes(0) No(0)
• 55/100 ( 100 + n ) = 60/100*100 + 50/100*n
  or 550 + 55n= 6000 +50n
  or 5n=500
  therefore n +100 = 100+100= 200 people surveyed .
• 9 years agoHelpfull: Yes(0) No(0)
• in 1st survey=n people
  in 2nd survey=100
  a/q
  .5n+60=.55(n+100)
  n=100
  tptal=100+100=200
• 9 years agoHelpfull: Yes(0) No(0)