The total ratio representing the yellow scores that Taylor got is 7+6=<<7+6=13>>13

The difference in the ratio between the number of black and white scores Taylor used is 7-6=<<7-6=1>>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=<<2/3*6=4>>4

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
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?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
4
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?
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