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One more method:

Using allegation

Refer diagram below:
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Gnpth
A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

A) 1:1
B) 1:4
C) 5:11
D) 7:11
E) 65:76

We can let d = the number of daytime staff and e = the number of evening staff, and thus:

65 = (76d + 60e)/(d + e)

65d + 65e = 76d + 60e

5e = 11d

5/11 = d/e

Answer: C
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