Answer:
The correct answer is C) 60,000 to 90,000 inclusive.
Explanation:
According with the available information, the 60% of the 150,000 households have videocassette recorder. In numbers:
60% of 150,000 = 0,6 . 150,000 = 90,000
and the 80% of the 150,000 households have cable television. In numbers:
80% of 150,000 = 0,8 . 150,000 = 120,000
There are in consequence a 20% of the 150,000 households that don't have cable television (equivalent to 30,000 households) and a 40% that don't have videocassette recorder (equivalent to 60,000 households).
- The maximum number of households that have both cable television and videocassette recorders is 90,000. This could happen if all the households that have videocassette recorders had also cable television.
In that case there would be:
Only videocassette recorder: 0
Only cable television: 30,000
Both cable television and videocassette recorder: 90,000.
Neither cable television nor videocassette recorder: 30,000
In total: 150,000 householders.
- The minimum number of households that have both cable television and videocassette recorders is 60,000. This could happen if all the 30,000 households that don't have cable television had contrary videocassette recorders; and in consequence there would be 60,000 households that had both cable television and videocassette recorder.
In that case there would be:
Only videocassette recorder: 30,000
Only cable television: 60,000
Both cable television and videocassette recorder: 60,000
Neither cable television nor videocassette recorder: 0
In total: 150,000 householders.