<human>:  There are one hundred tickets to be sold for a volleyball game. Andrea sold twice as many tickets as Jude while Sandra sold 4 more than half the number of tickets Jude sold. If Jude sold 16 tickets, how many tickets need to be sold?
<bot>: How many tickets did Andrea sell? ** Andrea sold 16 x 2 = <<16*2=32>>32 tickets.
How many tickets did Sandra sell? ** Half the number of tickets Jude sold is 16/2 = <<16/2=8>>8.
How many tickets did Sandra sell? ** So, Sandra sold 8 + 4 = <<8+4=12>>12 tickets.
How many tickets did Andrea, Jude, and Sandra sell? ** Thus, Andrea, Jude, and Sandra sold a total of 32 + 16 + 12 = <<32+16+12=60>>60 tickets.
How many tickets need to be sold? ** Therefore, 100 - 60 = <<100-60=40>>40 tickets need to be sold.
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