document.write( "Question 1176222: Nyiem scores a 99, 86,76 and 95 what grade would he need on the next exam to have an average of 91
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Algebra.Com's Answer #802611 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A standard approach: \n" ); document.write( "(1) find the sum of the four scores shown \n" ); document.write( "(2) calculate 91*5, which is the total number of points required for him to have an average of 91 for the five tests \n" ); document.write( "(3) the difference between (1) and (2) is the score he needs to get on the 5th test \n" ); document.write( "An alternative method that is often faster and easier if the numbers being averaged are all \"close together\": \n" ); document.write( "(1) determine how far over or under the desired average each current score is \n" ); document.write( "(2) add up all those differences \n" ); document.write( "(3) find the score on the 5th test that balances the total from (2) \n" ); document.write( "For this problem.... \r\n" ); document.write( "1st test: 99 = + 8\r\n" ); document.write( "2nd test: 86 = - 5\r\n" ); document.write( "3rd test: 76 = -15\r\n" ); document.write( "4th test: 95 = + 4\r\n" ); document.write( "-------------------\r\n" ); document.write( "total: - 8 \n" ); document.write( "His total scores on the four tests is 8 points below what he needs to get an average of 91; to balance that, his score on the 5th test has to be 8 points above the desired average. \n" ); document.write( "ANSWER: His score on the 5th test must be 91+8=99 to get an average of 91 on the 5 tests. \n" ); document.write( " \n" ); document.write( " |