If 45% of a class averages 100% on a test, 50% of the class averages 78% on the test, and the remainder of the class averages 65% on the test, what is the overall class average? (Round final answer to the nearest percent).	Answers:	A) 86 %	B) 87 %	C) 88 %	D) 89 %	E) 90 %

Rationale: "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %"
Answer: B