document.write( "Question 1128136: Jeff’s algebra test average will be an 88 if he gets a 72 on the next exam and a 91 if he gets a 90 on the next exam. If all exams are weighted the same, how many exams has Jeff taken so far? \n" ); document.write( "
Algebra.Com's Answer #744599 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jeff’s algebra test average will be an 88 if he gets a 72 on the next exam and a 91 if he gets a 90 on the next exam. If all exams are weighted the same, how many exams has Jeff taken so far? \n" ); document.write( "--------- \n" ); document.write( "Let # of tests taken so far be \"n\". \n" ); document.write( "Let the avg. score on those n tests be \"k\" \n" ); document.write( "------- \n" ); document.write( "Total of the scores on the first n tests = kn \n" ); document.write( "----- \n" ); document.write( "Equations:: \n" ); document.write( "(72+kn)/(n+1) = 88 \n" ); document.write( "(90+kn)/(n+1) = 91 \n" ); document.write( "---------- \n" ); document.write( "90+kn = 91(n+1) \n" ); document.write( "72+kn = 88(n+1) \n" ); document.write( "Subtract to get:: \n" ); document.write( "18 = 3(n-1) \n" ); document.write( "3n = 21 \n" ); document.write( "n = 7 (# of tests taken so far) \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |