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Question
suraj and dipti are playing minigolf. in minigolf, the player who completes the course with the fewest number of strokes wins. if suraj finished the course in 72 strokes, and dipti has 66 strokes before attempting the last hole, what is the greatest number of strokes dipti can finish the last hole in and still win?
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Step1: Define winning stroke limit
Dipti's total strokes must be less than 72. Let $x$ = strokes on last hole.
Total strokes for Dipti: $66 + x < 72$
Step2: Solve for $x$
Subtract 66 from both sides:
$x < 72 - 66$
$x < 6$
Step3: Find maximum integer $x$
The largest whole number less than 6 is 5.
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