# A survey concluded that for every 5 people who preferred to watch television, 3 people preferred reading in their spare time. If 950 people in the survey preferred television, how many preferred reading?

Dec 16, 2016

$570$ people preferred reading.
For every $\left(5 + 3\right) = 8$ people $5$ prefered watching television and 3 preferred reading. Let $x$ be the total people.
So by given survey, $x \cdot \frac{5}{8} = 950 \mathmr{and} x = \frac{950 \cdot 8}{5} = 1520$
Therefore total people surveyed is $1520$
So $\left(1520 - 950\right) = 570$ people preferred reading.[Ans]