72% of the graduates from Harvard Law took the Bar exams while 23% took the CPA exams. 25% of the graduates didn't take either Bar or CPA exams.
(A) If there are 2000 graduates in total, how many took the Bar and CPA exams?
(B) If 80% of the graduates that took the Bar exams passed, how many graduates passed the Bar?
EDIT: To the person elected "Best Answer", thank you very much! I love you! Thank you for breaking the solutions into chunks! I now understand it a LOT better!
Hi,
I use the cross multiplication method to calculate with percentages. ;)
(A) 2000 graduates will be 100%. if 72% took a BAR exam it equals 2000*72/100= 1440 graduates took the bar exam. Only 23% took the CPA exam. Which equals 460 graduates (2000*23/100). 25% took neither, which are 500 graduates. 1440+460=1900 exams were conducted by 2000-500=1500 graduates. Which means a surplus of 400 exams, thus 400 students took both the BAR and CPA exams.
(B) 1440 graduates took the BAR exam (see A). 1440 is the new 100%. Of the 1440 only 80% passed the exam. Which equals 1440*80/100= 1152 graduates passed the BAR exam.
I hope this helps.
Hi,
I use the cross multiplication method to calculate with percentages. ;)
(A) 2000 graduates will be 100%. if 72% took a BAR exam it equals 2000*72/100= 1440 graduates took the bar exam. Only 23% took the CPA exam. Which equals 460 graduates (2000*23/100). 25% took neither, which are 500 graduates. 1440+460=1900 exams were conducted by 2000-500=1500 graduates. Which means a surplus of 400 exams, thus 400 students took both the BAR and CPA exams.
(B) 1440 graduates took the BAR exam (see A). 1440 is the new 100%. Of the 1440 only 80% passed the exam. Which equals 1440*80/100= 1152 graduates passed the BAR exam.
I hope this helps.
