one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 72 workers in the Palabras bookstore, how many of them have read both books?  Choose the correct choice from the following options: A) 13 B) 12 C) 9 D) 8 E) 4
There are total 72 workers.   one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago,   So 18 have read Saramago.   5/8 of the workers have read the latest book by H. Kureishi.   So (5/8) * 72= 
<gadget id="calculator">(5/8) * 72</gadget>
<output>45</output>
45 have read Kureishi   The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book   If B workers have read both books, 18 - B have read Saramago but not Kureishi.   So, (18 - B - 1) have read neither.   Total= n(A) + n(B) - Both + Neither   72 = 18 + 45 - B + (18 - B - 1)   B = 4   Answer (4)
<result>E</result>
one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 72 workers in the Palabras bookstore, how many of them have read both books?