Question

A manufacturer conducted a survey to determine how many people buy products P and Q. What fraction of the people surveyed said that they buy neither product P nor product Q ? (1) \frac{1}{3} of the people surveyed said that they buy product P but not product Q. (2) \frac{1}{2} of the people surveyed said that they buy product Q.

Answer 1

Answer:

1/6

Explanation:

In the problem, a survey was conducted on 'x' number of people by the producer of two different products (P and Q). Therefore:

x/3 people bought P but not Q

x/2 people bought two products.

If 'y' represents the number of people that didn't buy any of the two products. We can say that:

x/3 + y = x/2

y = x/2 - x/3 = (3x-2x)/6 = x/6

Thus, the fraction is 1/6.