First find the number of students who went through breakups: 1/4 * 180 = <<1/4*180=45>>45 students

Then subtract that number from the total number: 180 students - 45 students = <<180-45=135>>135 students

Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = <<135/3=45>>45 students

Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = <<180-45-45-20=70>>70 students

# Answer

70
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
70
There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals?
train