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 <em>maximum number of households</em> that have both cable television and videocassette recorders is <em>90,000</em>. 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
<em>Both cable television and videocassette recorder: 90,000.
</em>
Neither cable television nor videocassette recorder: 30,000
In total: 150,000 householders.
- The <em>minimum number of households</em> that have both cable television and videocassette recorders is <em>60,000</em>. 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<u>.</u>
<u>In that case there would be:
</u>
Only videocassette recorder: 30,000
Only cable television: 60,000
<em>Both cable television and videocassette recorder: 60,000
</em>
Neither cable television nor videocassette recorder: 0
In total: 150,000 householders.