document.write( "Question 215557: After taking 4 quizzes, your average is 76 out of 100. What must your average score be on the next five quizzes to increase your average to 81? \n" ); document.write( "
Algebra.Com's Answer #162875 by drj(1380)![]() ![]() You can put this solution on YOUR website! After taking 4 quizzes, your average is 76 out of 100. What must your average score be on the next five quizzes to increase your average to 81?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x be the average of the next five quizzes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let 4*76 be the 4 quizzes with each quiz having a score of 76 so the average of the four quizzes is 76.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. There will be a total of 9 quizzes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. The average of nine quizzes is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply 9 to both sides of equation to get rid of denominator\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 304 to both sides of equation to get 5x on the right side\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 5 to both sides of equation to solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: To get an overall average of 81, the next five quizzes must average 85.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J \n" ); document.write( " |