Out of 100 families in the neighborhood, 50 have radios, 75 have TVs and 25 have VCR. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?

Question

Accepted Answer

Let us assume that the N number of people have only TV.
According to question,
∴ (40 – P) + P + 10 + 15 + (50 – P) = 100
⇒ 115 – 2P + P = 100
∴ P = 115 – 100 = 15
∴ Only TV = 75 – 15 – 10 – 15 = 35

Out of 100 families in the neighborhood, 50 have radios, 75 have TVs and 25 have VCR. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?

More Questions from Sets and Functions

Discussion & Comments