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?

Question

Eva Adamson · Accepted Answer

#570# people preferred reading.

For every #(5+3)=8# people #5# prefered watching television and 3 preferred reading. Let #x# be the total people. So by given survey, #x*5/8=950 or x= (950*8)/5=1520# Therefore total people surveyed is #1520# So #(1520-950) = 570# people preferred reading.[Ans]

Jameson Allen · Answer

undefined To find out how many people preferred reading in the survey, we can set up a proportion using the information given. Since for every 5 people who preferred television, 3 people preferred reading, we can express this relationship as 5:3.

Given that 950 people preferred television, we can use this information to find out how many people preferred reading by setting up the proportion:

$\frac{{\text{{Preferred reading}}}}{{\text{{Preferred television}}}} = \frac{3}{5}$

Solving for the number of people who preferred reading:

$\frac{{\text{{Preferred reading}}}}{{950}} = \frac{3}{5}$

Cross multiply:

$5 \times \text{{Preferred reading}} = 950 \times 3$

$\text{{Preferred reading}} = \frac{{950 \times 3}}{5}$

$\text{{Preferred reading}} = 570$

Therefore, 570 people in the survey preferred reading.