document.write( "Question 445878: In a recent season, Monique Currie of the Duke Blue Devils scored 635 points. She made a total of 356 shots, including 3 point field goals, 2-point field goals, and 1-point free throws. She made 76 more 2-point field goals than free throws and 77 more free throws than 3-point field goals. Find the number of each type of shot she made.
\n" ); document.write( "Appreciate if someone can help.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #307051 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Free throw goals =x
\n" ); document.write( "2pt field goals = x+76
\n" ); document.write( "3pt field goals=x-77\r
\n" ); document.write( "\n" ); document.write( "x+x+76+x-77=356
\n" ); document.write( "3x-1=356
\n" ); document.write( "3x=357
\n" ); document.write( "x=119 free throw goals
\n" ); document.write( "x+76 = 2 pt field goals = 119 +76=195
\n" ); document.write( "x-77 = 119-77 = 42 -- 3pt goals
\n" ); document.write( "CHECK
\n" ); document.write( "119*1 + 2*195+3*42= 635 points
\n" ); document.write( "
\n" ); document.write( "
\n" );