In Township K, 1/5 of the housing units are equipped with cable television . If 1/10 of the housing units , including 1/3 of those that are equipped with cable television , are equipped with videocassette recorders ,what fraction of the housing units have neither cable television nor videocassette recorders ?  Choose the correct choice from the following choices:
A) 23/30	B) 11/15	C) 7/10	D) 1/6	E) 2/15
Let total Housing Units = 5x.   As per question, Equipped with Cable TV = x   Equipped with VCR = x/2, which includes x/3 CTV. So, only VCR = x/2 - x/3 = x/6.   So, Cable TV + VCR = x + x/6 = 7x/6   No Cable TV and VCR = 5x - 7x/6 = 23x/6.   Fraction = 23x/(6 * 5x) = 23/30. Hence, 23/30
<result>A</result>
In Township K, 1/5 of the housing units are equipped with cable television . If 1/10 of the housing units , including 1/3 of those that are equipped with cable television , are equipped with videocassette recorders ,what fraction of the housing units have neither cable television nor videocassette recorders ?