Astudent has successfully passed 60 percent of the 20 quizzes he has taken so far. if the student takes 50 quizzes during the year and successfully passes 80 percent of the remaining quizzes, what is the percent of all the quizzes for the entire year that are passed successfully?

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

Step-by-step explanation:

A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Hope this helps!

He has 30 left to take, and he passes 80%.

(20/50) × 60% + (30/50) × 80% = 24% + 48% = 72%

72%