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In a basketball game Anita scored 37 points on 2-point and 3-point goals. She scored 6 more 2-pointers than 3-pointers.How many of each did she score?
Let the number of 3-pointers Anita scored be ( x ). Then she scored ( x + 6 ) 2-pointers. The total points can be expressed as ( 2(x + 6) + 3x = 37 ). Simplifying gives ( 2x + 12 + 3x = 37 ) or ( 5x + 12 = 37 ). Solving for ( x ) yields ( 5x = 25 ), so ( x = 5 ). Thus, she scored 5 three-pointers and ( 5 + 6 = 11 ) two-pointers.
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