Carcass wrote:
Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $30 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his paychecks for the year?
(A) $752
(B) $755
(C) $765
(D) $773
(E) $775
First 6 paychecks = 6(750) = $4,500
Last 20 paychecks = 20(750 + 30) = $15,600
Average = \(\frac{(4,500 + 15,600)}{26} = $773\)
Hence, option D