document.write( "Question 546758: If Joe gets 97 on his next math test, his average will be 90. If he gets 73, his average will be 87. How many tests has Joe already taken?\r
\n" ); document.write( "\n" ); document.write( "Formula: T+97 = 90, T+73 = 87
\n" ); document.write( " n+1 n+1
\n" ); document.write( "

Algebra.Com's Answer #356850 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
\"%28%28T%2B97%29%2F%28n%2B1%29%29=90\"
\n" ); document.write( "solve above for T
\n" ); document.write( "\"%28T%2B97%29=90%28n%2B1%29\"
\n" ); document.write( "\"T=90n%2B90-97\"
\n" ); document.write( "\"T=90n-7\"
\n" ); document.write( "use substitution below
\n" ); document.write( "\"%28%28T%2B73%29%2F%28n%2B1%29%29=87\"
\n" ); document.write( "\"%28%28%2890n-7%29%2B73%29%2F%28n%2B1%29%29=87\"
\n" ); document.write( "\"%2890n-7%2B73%29=87n%2B87\"
\n" ); document.write( "\"90n%2B66=87n%2B87\"
\n" ); document.write( "\"3n%2B66=87\"
\n" ); document.write( "\"3n=21\"
\n" ); document.write( "\"n=7\"
\n" ); document.write( "use substitution below
\n" ); document.write( "\"T=90n-7\"
\n" ); document.write( "\"T=90%287%29-7\"
\n" ); document.write( "\"T=623\"
\n" ); document.write( "check
\n" ); document.write( "\"%28623%2B97%29%2F%288%29=90\"
\n" ); document.write( "\"90=90\"
\n" ); document.write( "correct
\n" ); document.write( "check
\n" ); document.write( "\"%28623%2B73%29%2F%288%29=87\"
\n" ); document.write( "\"87=87\"
\n" ); document.write( "correct
\n" ); document.write( "he has already taken 7 tests
\n" ); document.write( "
\n" ); document.write( "
\n" );