conversations.from: human
conversations.value: Twenty dozen cups cost $1200 less than the total cost of half a dozen plates sold at $6000 each. Calculate the total cost of buying each cup.
conversations.from: assistant
conversations.value: Since a dozen has 12 items, half a dozen plates are 12/2 = 6
  Half a dozen plates sold at $6000 each cost 6*$6000 = $36000
  Twenty dozen cups cost $1200 less than the total cost of half a dozen plates, meaning the twenty dozen cups cost a total of $36000-$1200 = 34800
  Since a dozen has 12 items, twenty dozen cups are 20*12 = 240 cups.
  If the twenty dozen cups cost $34800, each cup costs $34800/240=$145