document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204325>Question 1204325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bobo's average for six mathematics tests is 97%. He made the same grade on each of the first five tests. His score on the last test was 12 points lower than the first five scores. What was Bobo's score on the last test? </SPAN>\n" );
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document.write( "The response from tutor @ikleyn shows a good typical formal algebraic solution.<br><BR>\n" );
document.write( "For problems like this involving averages of numbers that are all relatively close together, here is a VERY different way to solve the problem.<br><BR>\n" );
document.write( "The score on the last test was 12 points lower than on each of the other tests.<br><BR>\n" );
document.write( "\"Distribute\" those 12 points less over the 6 total tests.  That's 2 points per test.  That means the scores on his other 5 tests were each 97+2 = 99, and the score on his last test was 97-5(2) = 87.<br><BR>\n" );
document.write( "ANSWER: 87<br><BR>\n" );
document.write( "And for a more standard formal algebraic solution somewhat different than from the other tutor....<br><BR>\n" );
document.write( "let x = his score on each of the first 5 tests<br><BR>\n" );
document.write( "Then his score on the last test was x-12; and the average for the 6 tests was 97:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%28x%29%2B%28x-12%29%29%2F6=97 ALIGN=MIDDLE  ALT=\"%285%28x%29%2B%28x-12%29%29%2F6=97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-12%29%2F6=97 ALIGN=MIDDLE  ALT=\"%286x-12%29%2F6=97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=97 ALIGN=MIDDLE  ALT=\"x-2=97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=99 ALIGN=MIDDLE  ALT=\"x=99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: his score on the last test was x-12 = 99-12 = 87<br><BR>\n" );
document.write( " </SPAN>\n" );
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