Question

Out of 100 families in the neighborhood 50 have radios, 75 have TVs and 25 have VCRs. 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?​

Answer 1

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Step-by-step explanation:

Total Families = 100

Radio Owned = 50

TV Owned = 75

VCR Owned = 25

Radio + TV + VCR Owned = 10

Only Radio Owned = 25

so….

only Radio + TV owned = (Total Radio Owned) - (Radio + TV + VCR Owned) - Only Radio Owned

only Radio + TV owned = 50 - 10 - 25 = 15

Only TV + VCR Owned = (Total Radio Owned) - (Radio + TV + VCR Owned)

Only TV + VCR Owned = 25 - 10 = 15

Because all VCR owned families have TVs.

Only TV Owned = Total TV Owned - (Radio + TV + VCR Owned) - (Only TV + VCR Owned) - (only Radio + TV owned)

Only TV Owned = 75 - 10 - 15 - 15 = 75 - 40 = 35