In a certain city, 80 percent of the households have cable television and 60 percent of the households have videocassette recorders. if there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from: a. 30,000 to 90,000 inclusiveb. 30,000 to 120,000 inclusivec. 60,000 to 90,000 inclusived. 60,000 to 120,000 inclusivee. 90,000 to 120,000 inclusive

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).

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.

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.

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