Data Sufficiency

28. A certain car dealership has two locations. Last months, an average (arithmetic mean) of 11 cars per sales person was sold at location A and an average of 16 cars per sales person was sold at location B. What was the average number of cars sold per salesperson at this dealership last month?

1) Last month, the number os salespeople at location A was 3 times the n umber of salespeople at location B

2) Last month, the total numner of cars sold at location A was 132, and the total numner of cars sold at location B was 64.


Can anyone help? Correct answer will follow

1 is sufficient

if at B there were 2 workers, at A there were 6.
(6*11+2*16)/(6+2) = (66+32)/8 = 98/8 = 12+2/4 = 12+1/4
if at B there were 10 workers, at A there were 30.
(30*11+10*16)/(30+10) = (330+160)/40 = 490/40 = 49/4 = 12+1/4

2 is sufficient
11*A=132 so A = 132/11 = 12 workers at A
16*B=64 so B = 64/16 = 4 workers at B

(132+64)/(12+4) = 196/16 = 49/4 = 12+1/4

Answer is D either alone is sufficient

OA is D - thanks!