There are 3 + 1 = <<3+1=4>>4 blue tiles.

There are a total of 3 + 4 + 6 = <<3+4+6=13>>13 tiles are yellow, blue, and purple.

Hence, 20 - 13 = <<20-13=7>>7 tiles are white.

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
June made a design with 20 equal tiles. Three tiles are yellow and the number of blue tiles is one more than the number of yellow tiles. Six tiles are purple and the remaining tiles are white.  How many white tiles are there?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
7
June made a design with 20 equal tiles. Three tiles are yellow and the number of blue tiles is one more than the number of yellow tiles. Six tiles are purple and the remaining tiles are white.  How many white tiles are there?
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