In a certain city, 80 percent of the households have cable television, and 50 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:  Select the correct option.
A) 45,000 to 90,000 inclusive	B) 30,000 to 120,000 inclusive	C) 45,000 to 75,000 inclusive	D) 75,000 to 120,000 inclusive	E) 90,000 to 120,000 inclusive
The maximum percentage with both is 50% which is 75,000 households.   This means that every household with a recorder also has cable television.   The minimum percentage with both is 30% which is 45,000 households.   This means that 20% of households have only recorders but not cable television.   The other 30% of households with recorders have cable television.   The answer is 45,000 to 75,000 inclusive.
<result>C</result>
In a certain city, 80 percent of the households have cable television, and 50 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: