Give the step-by-step reasoning process and then the final answer. In the baking contest, three times as many people voted for the unicorn cake compared to the witch cake, and the number of votes for the dragon cake was 25 more than the number of votes for the witch cake. If 7 people voted for the witch cake, how many votes were cast total?
First find the number of votes for the unicorn cake: 7 votes * 3 = 21 votes. Then find the number of votes for the dragon cake: 25 votes + 7 votes = 32 votes. Then add the number of votes for each cake to find the total number of votes: 21 votes + 32 votes + 7 votes = 60 votes.
The final answer: 60.