conversations.from: human
conversations.value: This math problem has got me stumped: James buys 200 lotto tickets for 2 dollars each.  Of those tickets 20% are winners.  80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000.  The other tickets win an average of $10.  How much did he profit?
  Can you show me the way?
conversations.from: assistant
conversations.value: He spent 200*2=$400
  There were 200*.2=40 tickets
  Of those 40*.8=32 are 5 dollar winners
  So they win 32*5=$160
  He has 40-32=8 other winning tickets
  Of those 8-1=7 wins $10
  So they win 10*7=$70
  So he won 5000+70+160-400=$4830