Ben’s music album sold 5/6 the number of copies as Regina’s album... (GRE Quants)

Question

Ben’s music album sold 5/6 the number of copies as Regina’s album. If Regina’s album sold at least 1,500 copies more than Ben’s album, how many copies of Ben’s album were sold?  
Indicate ALL possible values.  
A)12,000  
B)11,244   
C)9,000   
D)6,500   
E)6,436   
F)4,225  
    
Drop your answers below!  
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Yocket Hub · Answer

"To solve this question, plug in the answers. In choice (D), if Ben, B, sold 6500 copies and B =   R, then 6500 =(5/6)R, so Regina, R, sold 7800 copies, thus giving a difference of 7800 − 6500 = 1300. Since this is too small, eliminate choices (D), (E), and (F) and try larger numbers. In choice (C), if B = 9000, then 9000 = (5/6)R, so R = 10,800, thus giving 10,800 − 9000 = 1800; since this is bigger than 1500, keep choice (C). In choice (B), if B = 11,244, then 11,244 =(5/6)R, so R = 13,492.8 copies; eliminate choice (B), as it is impossible to sell a fraction of an album. In choice (A), if B = 12,000, then 12,000 =(5/6)R, so R = 14,400 and 14,400 − 12,000 = 2400. Since this is bigger than 1500, keep choice (A). The correct answers are choices (A) and (C).

Ben’s music album sold 5/6 the number of copies as Regina’s album... (GRE Quants)

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