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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 no of people surveyed?
a)200 b)150 c)50 d)100
Read Solution (Total 21)
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- 50% of n=(50/100)*n=n/2
55% of(100+n)=55+(11*n)/20
60% of 100=60
55+(11*n)/20=n/2+60
n=100
Total people surveyed=100(from badaville) +100(from chottaville) - 10 years agoHelpfull: Yes(22) No(2)
- 200
let from town1 100 people and 100 from town2
now, 50% of town1 =50% of 100= 50
and 60% of town2 = 50% of 100= 60
total= 50+60=110
over all percentage of people of brand a=110*100/200= 55%
hence total people= 100+100= 200 - 10 years agoHelpfull: Yes(5) No(0)
- (60+0.5n)*100/n+100=11
n=100
100+100=200 - 10 years agoHelpfull: Yes(3) No(2)
- a.200
50% of n=n/2
60% of 100=60
(55/100)*(n+100)=(n/2)+60
n=100
total=100+100=200 - 10 years agoHelpfull: Yes(3) No(1)
- 50/100*n=n/2
60/100*100=60
Overall 55/100(100+n)
Therefore
n/2+60=55+11n/20
5=11n/20-n/2
n=100
100+100=200(a) - 10 years agoHelpfull: Yes(1) No(0)
- 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 no of people surveyed?
a)200 b)150 c)50 d)100 - 10 years agoHelpfull: Yes(1) No(0)
- in badaville n/2 people prefer brand A
in chottaville 60% i.e. 60 people prefer brand A
thus in total there is (n+100) people out of wich 55% prefer brand A
thus soln is n/2 + 60 = (n+100)*0.55
solving the answer comes to n=100
therfr total people using brand A is 100 + 100 = 200 - 10 years agoHelpfull: Yes(1) No(0)
- Equation will be-50 of n 60 of 100 55 of 100nas first village have n and second have 100 people so total will be 100nn2605555100nso n100
- 10 years agoHelpfull: Yes(1) No(0)
- answer is 200 people
- 10 years agoHelpfull: Yes(0) No(1)
- Will you explain it more clear SREE
- 10 years agoHelpfull: Yes(0) No(1)
- Ans-200
50% of n=.5n prefer brand A
60% of 100=60 people prefer brand A
55% of(n+100)=60+.5n
.55n+55=60+.5n
.05n=5
n=5/.05
n=100
total people=100+100=200 - 10 years agoHelpfull: Yes(0) No(0)
- ans 200,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
- 10 years agoHelpfull: Yes(0) No(0)
- 45*n/100=45;
n=100
so 200 - 10 years agoHelpfull: Yes(0) No(0)
- in badaville n/2 people prefer brand A
in chottaville 60% i.e. 60 people prefer brand A
thus in total there is (n+100) people out of wich 55% prefer brand A
thus soln is n/2 + 60 = (n+100)*0.55
solving the answer comes to n=100
therfr total people using brand A is 100 + 100 = 200
- 10 years agoHelpfull: Yes(0) No(0)
- n/2+60 = 55/100(100+n)
50n+6000=5500+55n
5n = 500
n =100
n+100 = 200
A=200 - 10 years agoHelpfull: Yes(0) No(0)
- take .5n+60=.55(n+100)
.05n=5
n=100
now total=100+100=200
- 10 years agoHelpfull: Yes(0) No(0)
- 60% of 100=60
50% 0f x=0.5x
60+0.5x=0.55(100+x)
=>x=100
=>total=x+100=200 - 10 years agoHelpfull: Yes(0) No(0)
- 60+ .50n = .55(100+n)
after solving above equation we get
5n=500
so n = 100
so total people surveyed = 100 + 100= 200 answer - 10 years agoHelpfull: Yes(0) No(0)
- use alligation rule
- 9 years agoHelpfull: Yes(0) No(0)
- ans: 0.5 n+ 60= ((n+100)*55)100
n=100
total no. of people=100+100=200 - 9 years agoHelpfull: Yes(0) No(0)
- using alligation
50 60
55
5 5
ratio 1:1
so n=100
total people=100+100=200 - 7 years agoHelpfull: Yes(0) No(0)
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