document.write( "Question 795208: I am having trouble getting started on this problem with percentages and ratios. please help me. The word problem is: Doug, Dick, an Dean are triplets in Mr. Finch's first pd. algebra 1 class, but Friday's exam is to be their last one in that school. On the following Monday, after the triplets have left the school, Mr. Finch said the class averages. Before the triplets left the class average was 74%. However, removing their scores causes the class average to rise by 1%. Furthermore he adds, the ratios of the triplets scores is 6:5:3 What are the scores of the three departing friends? the dozen students in the class quickly arrived at a answer. \n" ); document.write( "
Algebra.Com's Answer #480963 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Doug, Dick, an Dean are triplets in Mr. Finch's first pd. algebra 1 class, but Friday's exam is to be their last one in that school.
\n" ); document.write( " On the following Monday, after the triplets have left the school, Mr. Finch said the class averages.
\n" ); document.write( " Before the triplets left the class average was 74%.
\n" ); document.write( " However, removing their scores causes the class average to rise by 1%.
\n" ); document.write( " Furthermore he adds, the ratios of the triplets scores is 6:5:3
\n" ); document.write( " What are the scores of the three departing friends?
\n" ); document.write( ":
\n" ); document.write( "Let x be the multiplier, then
\n" ); document.write( "6x, 5x, and 3x is the triplets scores
\n" ); document.write( "Let a = the total scores of the other student
\n" ); document.write( "number of remaining students = 12
\n" ); document.write( ":
\n" ); document.write( "With the triplets
\n" ); document.write( "\"%28a+%2B+6x+%2B+5x+%2B+3x%29%2F%2812%2B3%29\" = 74
\n" ); document.write( "a + 14x = 15(74)
\n" ); document.write( "a + 14x = 1110
\n" ); document.write( ":
\n" ); document.write( "After the triplets leave
\n" ); document.write( "\"a%2F12\" = 75
\n" ); document.write( "a = 12*75
\n" ); document.write( "a = 900 total scores of the rest of the class
\n" ); document.write( ":
\n" ); document.write( "Find x
\n" ); document.write( "900 + 14x = 1110
\n" ); document.write( "14x = 1110 - 900
\n" ); document.write( "14x = 210
\n" ); document.write( "x = 210/14
\n" ); document.write( "x = 15 is the multiplier
\n" ); document.write( "therefore the triplet's grades
\n" ); document.write( "15(6) = 90
\n" ); document.write( "15(5} = 75
\n" ); document.write( "15(3) = 45
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( "\"%28900%2B90%2B75%2B45%29%2F15\" = 74
\n" ); document.write( "and
\n" ); document.write( "\"900%2F12\" = 75\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );