conversations.from: human
conversations.value: To make a yellow score mixture, Taylor has to combine white and black scores in the ratio of 7:6. If she got 78 yellow scores, what's 2/3 of the difference between the number of black and white scores she used?
  Can you solve this problem?
conversations.from: assistant
conversations.value: The total ratio representing the yellow scores that Taylor got is 7+6=13
  The difference in the ratio between the number of black and white scores Taylor used is 7-6=1
  The fraction representing the difference in the ratio between the number of black and white scores Taylor used is 1/13, representing 1/13*78=6
  2/3 of the difference between the number of black and white scores Taylor used is 2/3*6=4