Bon-Bean, a coffee shop, served a total of 460 cups of coffee and tea yesterday. 270 of these cups contained caffeine, and the number of decaffeinated tea cups was twice the total number of tea cups that contained caffeine. If Bon-Bean served 250 coffee cups yesterday, how many of them were decaffeinated?  Choose the correct choice from the following answers.
A) 50 B) 70 C) 140 D) 190 E) 210
Tc : Tea caffeine   Td : Tea No caffeine   Cc : Coffee Caffeine   Cd : Coffee No Caffeine   As per question, Tc + Td + Cc + Cd = 460 -- (1)   Also, Tc + Cc = 270 -- (2)   Td = 2 * Tc -- (3)   Cc + Cd = 250 -- (4)   Now, substituting (4) in (1), we will have Tc + Td + 250 = 460   or Tc + Td = 210. -- (5)   Substitute (3) in (5), we will get Tc = 70. Substitute Tc in (2), we will get Cc = 200   Now substitute Cc in (4), we will get Cd = 50. hence, 50
<result>A</result>
Bon-Bean, a coffee shop, served a total of 460 cups of coffee and tea yesterday. 270 of these cups contained caffeine, and the number of decaffeinated tea cups was twice the total number of tea cups that contained caffeine. If Bon-Bean served 250 coffee cups yesterday, how many of them were decaffeinated?