SOLUTION: In a survey 7 out of 10 people responded with true. If 350 people responded True then how many people took part in the survey? How many responded Falce

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a survey 7 out of 10 people responded with true. If 350 people responded True then how many people took part in the survey? How many responded Falce      Log On


   

Question 1122015: In a survey 7 out of 10 people responded with true. If 350 people responded True then how many people took part in the survey?
How many responded Falce
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
7 out of 10 people responded true.
350 people responded true.

let x equal the number of people total.
then 7/10 * x = 350
multiply both sides of the equation by 10/7 to get:
10/7 * 10/7 * x = 350 * 10/7
simplify to get x = 10/7 * 350
simplify further to get x = 500
that's the number of people who took part in the survey
500 - 350 = 150 responded false.
150 / 500 = 15 / 50 = 3 / 10
3 out of 10 responded false.
7 out of 10 true plus 3 out of 10 false equals 10 out of 10 total.
350 out of 500 true plus 150 out of 500 false equals 500 out of 500 total.