document.write( "Question 1007084: On 3 tests, Rajas had scores of 70, 72, and 80. What score must he get on the fourth test to raise his average test score by exactly five points? So, I'm kind of lost because it asks to find it exactly 5 points higher. \n" ); document.write( "
Algebra.Com's Answer #623117 by Theo(13342) You can put this solution on YOUR website! the average of the 3 scores is equal to (70 + 72 + 80) / 3 = 222 / 3 = 74\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total of the 3 scores is 222. \n" ); document.write( "the average of the 3 scores is 74.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want to raise the average by 5 points. \n" ); document.write( "the new average will have to be 74 + 5 = 79 \n" ); document.write( "that new average is over 4 scores.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 * 79 = 316 \n" ); document.write( "the total of the 4 scores needs to be 316 in order for the average of the 4 scores to be 79.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total of the 4 scores minus the total of the 3 scores will be equal to the fourth score.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "316 - 222 = 94\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the fourth score will need to be 94 in order for the average of the 4 scores to be 79.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "222 + 94 = 316 \n" ); document.write( "316 / 4 = 79 \n" ); document.write( "79 = 74 + 5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |