document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800618>Question 800618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This basketball season, Collin scored 7 less points than Antonio, Shaun scored twice as many points as Antonio, and Julio scored 5 less than 3 times as many points as Antonio. If all 4 players scored a total of 303 points this season, how many points did each player score? <BR>\n" );
document.write( "Number of points scored by Antonio:<BR>\n" );
document.write( "Number of points scored by Collin:<BR>\n" );
document.write( "Number of points scored by Shaun:<BR>\n" );
document.write( "Number of points scored by Julio: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483180 by </B><A HREF=/tutors/aboutme.mpl?userid=VictoryStar><B>VictoryStar(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VictoryStar><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 303 points were scored in total, on one side of the equation, would be =303 (Recommended to be the right side)<BR>\n" );
document.write( "Use Collin's points as \"X\", a number you do not currently know.<BR>\n" );
document.write( "So far, (Not complete yet), we have x=303<BR>\n" );
document.write( "Collin, however, did 7 less points than Antonio. But since Collin is X, it can be re-written as Antonio scored 7 more points than Collin, which gives us X+7. Combine these results and so far you obtain<BR>\n" );
document.write( "X+X+7=303<BR>\n" );
document.write( "Shaun scored two times more than the amount Antonio scored, and since we defined Antonio's points as X+7, that multiplied by two (X times 2= 2x, and 7x2 = 14) is 2x+14, we add that to our equation.<BR>\n" );
document.write( "So far, we now have X+X+7+2x+14=303<BR>\n" );
document.write( "And finally, Julio's points. Julio managed to scored 5 less than 3 times the points of Antonio. Antonio, once more, scored X+7 points. 3 times that becomes 3x+21 (X times 3 is 3x, 7x3 is 21). But however, because he has 5 less, you must subtract that number. 21-5 is 16. Combine this to the equation.<BR>\n" );
document.write( "You end up with X+X+7+2X+14+3X+16=303. Combine like terms (All phrases ending with X, are added, similar with the integers.)<BR>\n" );
document.write( "Combining like terms gives you with the equation 7x+37=303<BR>\n" );
document.write( "Minus 37 from each side to isolate the variable (Keep all of the \"X\"s on one side.)<BR>\n" );
document.write( "Doing so gives you 7x = 266<BR>\n" );
document.write( "Divide each side, so you are left with only an X.<BR>\n" );
document.write( "This gives you with x = 38.<BR>\n" );
document.write( "Simply plug in Collin's number (38), into the other equations, giving you your answer.<BR>\n" );
document.write( "Antonio: X+7<BR>\n" );
document.write( "Collin: X<BR>\n" );
document.write( "Shaun: 2X+14<BR>\n" );
document.write( "Julio: 3X+16<BR>\n" );
document.write( "Number of points scored by Antonio: 45 (x+7 = 38+7 = 45)<BR>\n" );
document.write( "Number of points scored by Collin: 38 (x = 38)<BR>\n" );
document.write( "Number of points scored by Shaun: 90 (2x+14 = (2x38)+14 = 76+14 = 90)<BR>\n" );
document.write( "Number of points scored by Julio: 130 (3x+16 = (3x38)+16 = 114+16 = 130)<BR>\n" );
document.write( "To check your work, simply add the values together, and see if they equal 303.<BR>\n" );
document.write( "45 + 38 + 90 + 130<BR>\n" );
document.write( "83 + 220<BR>\n" );
document.write( "303<BR>\n" );
document.write( "Therefore, our answers are correct. </SPAN>\n" );
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