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.
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Algebra.Com's Answer #307050 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = number of 1-point shots she made
\n" ); document.write( "Let $\"b\"$ = number of 2-point shots she made
\n" ); document.write( "Let $\"c\"$ = number of 3-point shots she made
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+356+\"$
\n" ); document.write( "(2) $\"+b+=+a+%2B+76+\"$
\n" ); document.write( "(3) $\"+a+=+c+%2B+77+\"$
\n" ); document.write( "This is 3 equations with 3 unknowns, so it's solvable
\n" ); document.write( "(3) $\"+a+=+c+%2B+77+\"$
\n" ); document.write( "(3) $\"+c+=+a+-+77+\"$
\n" ); document.write( "Substitute (2) and (3) in (1)
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+356+\"$
\n" ); document.write( "(1) $\"+a+%2B+a+%2B+76+%2B+a+-+77+=+356+\"$
\n" ); document.write( "(1) $\"+3a+-+1+=+356+\"$
\n" ); document.write( "(1) $\"+3a+=+357+\"$
\n" ); document.write( " $\"+a+=+119+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+=+a+%2B+76+\"$
\n" ); document.write( "(2) $\"+b+=+119+%2B+76+\"$
\n" ); document.write( " $\"+b+=+195+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+119+-+77+\"$
\n" ); document.write( " $\"+c+=+42+\"$
\n" ); document.write( "She made 119 1-point shots
\n" ); document.write( "She made 195 2-point shots
\n" ); document.write( "She made 42 3-point shots \n" ); document.write( "

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