At a Certain Radio Station, They Receive Requests All Day

Short Answer

At a certain radio station, they receive requests all day via email. They play a mix of requested songs and songs chosen by the DJ; they always play 21% of songs requested by 9am, 31% of the songs requested between 9am and 2pm, and 8% of songs requested after 2pm. If in a given day 14% of requests are received by 9am and 43% are received by 2pm (including those by 9am), what percentage of songs played that day are chosen by the DJ?