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)\"\" \"About 
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 \"81=%284%2A76%2B5x%29%2F9\". Solve for x as follow\r
\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( "\"81=%284%2A76%2B5x%29%2F9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9%2A81=9%2A%28304%2B5x%29%2F9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"729=304%2B5x\"\r
\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( "\"729-304=304%2B5x-304\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"425=5x\"\r
\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( "\"425%2F5=5x%2F5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=85\"\r
\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( "
\n" );