document.write( "Question 668175: A basketball player scored 20 times during one game. He scored a total of 39 points, two for each two-point shot and one for each free throw. How many two-point shots did he make? How many free throws did he make? \n" ); document.write( "

Algebra.Com's Answer #415362 by Adrianne15(25) $\"\"$ $\"About$

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20 successful shots.
\n" ); document.write( "39 points.
\n" ); document.write( "Two points - two point shot.
\n" ); document.write( "One point - free throw.\r
\n" ); document.write( "\n" ); document.write( "Let x = number of two point shots he made, and 20-x = the number of free throws he made.\r
\n" ); document.write( "\n" ); document.write( "Now I'll multiply the scoring value (how many points) by the variable, making sure it equals 39.\r
\n" ); document.write( "\n" ); document.write( " $\"2%28X%29%2B+1%2820-x%29+=+39\"$
\n" ); document.write( " $\"2x+%2B+20-x+=+39\"$
\n" ); document.write( " $\"x+=+39+-+20\"$
\n" ); document.write( " $\"x+=+19\"$ \r
\n" ); document.write( "\n" ); document.write( "Substitute x back into your expressions.\r
\n" ); document.write( "\n" ); document.write( "Two point shots = x
\n" ); document.write( "=19\r
\n" ); document.write( "\n" ); document.write( "Free throws = 20-x
\n" ); document.write( "=20-19
\n" ); document.write( "=1\r
\n" ); document.write( "\n" ); document.write( "Test:\r
\n" ); document.write( "\n" ); document.write( "# two point shots + # free throws (should) = 20
\n" ); document.write( "19 + 1 = 20\r
\n" ); document.write( "\n" ); document.write( "Total points should be 39.\r
\n" ); document.write( "\n" ); document.write( "19 x two points + 1 x one point
\n" ); document.write( "= 19(2) + 1(1)
\n" ); document.write( "=38 + 1
\n" ); document.write( "=39\r
\n" ); document.write( "\n" ); document.write( "Therefore, he made nineteen two-point shots, and one free throw. \n" ); document.write( "

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