document.write( "Question 1089343: The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates was 39 and that of failed candidates was 15, the number of candidates who passed examination is \n" ); document.write( "
Algebra.Com's Answer #703688 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The average of marks obtained by 120 candidates was 35. \n" ); document.write( " If the average marks of passed candidates was 39 and that of failed candidates was 15, the number of candidates who passed examination is \n" ); document.write( ": \n" ); document.write( "let p = no. students who passed \n" ); document.write( "there were 120 students, therefore \n" ); document.write( "(120-p) = no. of students that failed \n" ); document.write( ": \n" ); document.write( "Find the total no. of marks of the 120 students \n" ); document.write( "120 * 35 = 4200 \n" ); document.write( "therefore \n" ); document.write( "39p + 15(120-p) = 4200 \n" ); document.write( "39p + 1800 - 15p = 4200 \n" ); document.write( "39p - 15p = 4200 - 1800 \n" ); document.write( "24p = 2400 \n" ); document.write( "p = 2400/24 \n" ); document.write( "p = 100 students passed. \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check, find the sum of the total marks of each group \n" ); document.write( "100*39 = 3900 \n" ); document.write( "20 *15 = 3000 \n" ); document.write( "-------------- \n" ); document.write( "total: 4200 \n" ); document.write( " |