2/3 of the geometry 1b students failed a test. 40% of them who had failed, passed the retake. Find the percentage of the students who had passed after the retake
First, let's find how many students failed the test. Since 2/3 of the students failed, it means 1/3 passed.
Let's say there were 100 students in total, so 1/3 of them passed the test, which is 100*(1/3) = 33.3 students passed.
Now, 2/3 of students failed, which means 100*(2/3) = 66.6 students failed.
40% of these 66.6 students passed the retake, which is 66.6*(40/100) = 26.64 students passed the retake.
Adding this to the initial passing students, we have a total of 33.3 + 26.64 = 59.94 students passing after the retake.
Therefore, the percentage of students passing after the retake is (59.94/100) * 100 = 59.94%.
Therefore, approximately 59.94% of the students passed after the retake.