Question

In a survey, 3/16 of the people surveyed told that they preferred to use publictransport while commuting daily to office. 5/8 of the people surveyed told that theypreferred to use their own vehicles. the remaining 75 respondents said thatthey had no clear preference. how many people preferred to use publictransport?

Answer 1

Let the total number of people surveyed be x.
ATQ,
$\frac{3}{16} x \: + \frac{5}{8} x \: + 75 = x \\ \frac{13}{16} x + 75 = x \\ \frac{3}{16} x = 75 \\ x = 75 \times 16 \div 3 \\ x = 400$

Thus the number of people using public transport are 3 X 400/16 = 75