SOLUTION: In a certain city of 15000 families, 3.5% of families who read A but not B look into advertisement, 25% of families who read B but not A look into advertisement and 50% of families

Algebra.Com
Question 1126125: In a certain city of 15000 families, 3.5% of families who read A but not B look into advertisement, 25% of families who read B but not A look into advertisement and 50% of families who read A and B look into advertisement. It is known that 8000 families read A, 4000 read B and 1000 both A and B.
Find the number of families who look into advertisements.
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
From the condition,


    the set  (A n B)  ("A intersection B")  of those who read both A and B is 1000 families;

    the set  (A \ (A n B)) of those who read A but not B is 8000-1000 = 7000 families;

    the set  (B \ (A n B)) of those who read B but not A is 4000-1000 = 3000 families.



Thus the number of families who look into advertisements is


    0.035*7000 + 0.25*3000 + 0.5*1000 = 1495  families.



Answer.  The number of families who look into advertisements is  1495.

Solved.



RELATED QUESTIONS

In a city there are 15000 families. (3.5)% read news paper 'A' but not 'B' look into... (answered by richwmiller)
In a society of 160 families, it was found that 123 families watch Netflix; 124 families... (answered by greenestamps,ikleyn)
Studies show that 60% of US families use physical aggression to resolve conflict. Suppose (answered by ewatrrr)
A certain amount of money was equally distributed among some families affected by recent... (answered by Theo)
A group of faculty members at a small college operate a carpool to three kinds of... (answered by greenestamps)
In a certain barangay, the families have an average of 3 children. If there are 235... (answered by ikleyn)
 In a local town 36,000 families have incomes less than $30,000 per year. This number of (answered by ikleyn)
In a local town 36,000 families have incomes less than $30,000 per year. This number of... (answered by ikleyn)
the Europian Union (EU) would like to resettle 753 ukranian families stranded in poland... (answered by GingerAle)