document.write( "Question 387091: A basketball team recently scored a total of 81 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 46 baskets and 9 more 2-pointers than foul shots. How many of each shot were made? \n" ); document.write( "

Algebra.Com's Answer #273608 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "9 more 2-pointers than foul shots, 46 baskets in all   
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document.write( "Let x  and (x+9) represent the number of foul shots and 2-pointers respectively
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document.write( "then 3 pointers would be [46 - x - (x+9))] 0R (37-2x)
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document.write( "Question States***total of 81 points
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document.write( " 1*x + 2*(x+9) + 3*(37-2x) = 81
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document.write( "Solving for x
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document.write( " 1x + 2x+ 18 + 111 -6x = 81
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document.write( "       129 - 3x = 81 
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document.write( "            48 = 3x
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document.write( "            16 = x, the number of foul shots.  
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document.write( "            25 2-pointers,  (16+9)
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document.write( "             5 3-pointers   (46 - 16 - 25)
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document.write( "CHECKING our Answer***
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document.write( " 50 + 15 + 16 = 81 points total 
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