document.write( "Question 736146: A basketball player scored 18 times during one game. He scored a total of 30 points, which consists of 1 point free throws and 2 point baskets. How many one point free throws did he make? How many 2 point baskets did he make? \n" ); document.write( "

Algebra.Com's Answer #852634 by ikleyn(53419) $\"\"$ $\"About$

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\n" ); document.write( "A basketball player scored 18 times during one game. He scored a total of 30 points, which consists
\n" ); document.write( "of 1 point free throws and 2 point baskets.
\n" ); document.write( "How many one point free throws did he make? How many 2 point baskets did he make?
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\n" ); document.write( "\n" ); document.write( "        There are different methods to solve this problem.\r
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\n" ); document.write( "\n" ); document.write( "        I will show here one of these methods, which is a basic.\r
\n" ); document.write( "\n" ); document.write( "        It means that every student solving such problem/problems MUST know it.\r
\n" ); document.write( "\n" ); document.write( "        Probably, other tutors will come and add their versions - but this one is that every student must know.\r
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document.write( "Let x be the number of 1-point throws.\r\n" );
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document.write( "Then the number of 2-point throws is (18-x).\r\n" );
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document.write( "1-point throws contribute  1*x = x  points to the total counting.\r\n" );
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document.write( "2-point throws contribute  2*(18-x) points to the total counting.\r\n" );
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document.write( "Now you are prepared to write an equation for the total points\r\n" );
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document.write( "    x + 2*(18-x) = 30   points total.\r\n" );
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document.write( "Simplify it and find 'x'\r\n" );
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document.write( "    x + 36 - 2x = 30,\r\n" );
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document.write( "    x - 2x = 30 - 36,\r\n" );
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document.write( "      -x   =    -6,\r\n" );
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document.write( "       x   =     6.\r\n" );
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document.write( "Thus the number of the 1-point throws is 6.  \r\n" );
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document.write( "Hence, the number of the 2-point throws is  18-6 = 12.\r\n" );
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document.write( "ANSWER.  6 one-point throws and 12 two-point throws.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, and now you know the method.\r
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