document.write( "Question 1137778: Lincoln High School's basketball team won the regional playoffs scoring a total of 60 points no including free throws. The team made a total of 26 baskets some were 2-points shots and the rest were 3-points shots. How many 2-point shots did the team make? \n" ); document.write( "

Algebra.Com's Answer #755653 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Algebraically....

\n" ); document.write( "x = # of 2-point shots
\n" ); document.write( "y = # of 3-point shots

\n" ); document.write( "x+y = 26 (26 total shots)
\n" ); document.write( "2x+3y = 60 (60 total points)

\n" ); document.write( "Solve the pair of equations by whatever method you choose.

\n" ); document.write( "If an algebraic solution is not required, here is an easy way to find the answer using logical reasoning and simple mental arithmetic.

\n" ); document.write( "(1) If all 26 shots had been 2-point shots, the total score would have been 52, which is 8 points short of the actual total.
\n" ); document.write( "(2) Each 3-point shot counts 1 point more than each 2-point shot.
\n" ); document.write( "(3) Therefore the number of 3-point shots must have been 8.
\n" ); document.write( "(4) And that means the number of 2-point shots was 26-8 = 18. \n" ); document.write( "

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