document.write( "Question 679374: Can you please help me figure this word problem out, i figured that they made 5 two point shots, and 2 free throws, I don't know ho to write it out, or if I am right, here is the problem:\r
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document.write( "A basketball player score 9 times during one game. He scored a total of 12 points two for each shot and one for each free throw, How many two point shots did he make? How many free throws? \n" );
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Algebra.Com's Answer #422648 by MathTherapy(10551)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Can you please help me figure this word problem out, i figured that they made 5 two point shots, and 2 free throws, I don't know ho to write it out, or if I am right, here is the problem:\r \n" ); document.write( "\n" ); document.write( "A basketball player score 9 times during one game. He scored a total of 12 points two for each shot and one for each free throw, How many two point shots did he make? How many free throws?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "While your answer of 5 two-point shots, and 2 free throws sum to 12 points, they only total 7 shots (5 + 2), so this is INCORRECT!! The correct solution is as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let amount of 2-point shots scored be T, and amount of free throws, F \n" ); document.write( "Then: T + F = 9 ----- eq (i) \n" ); document.write( "Also, 2T + 1F = 12 ------ eq (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- T = - 3 ----- Subtracting eq (ii) from eq (i) \n" ); document.write( "T, or amount of 2-point shots he made = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 + F = 9 ----- Substituting 3 for T in eq (i) \n" ); document.write( "F, or amount of free throws he made = 9 - 3, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |