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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?

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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GCF and LCM: word problems

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Q. 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?

Calculate Stroke Difference: Determine the current stroke difference between Suraj and Dipti. Suraj has completed the course in $72$ strokes. Dipti has $66$ strokes before the last hole. The difference in strokes is $72 - 66 = 6$ strokes.
Find Maximum Strokes: Calculate the maximum number of strokes Dipti can take on the last hole to still win. $\newline$ To win, Dipti needs to have fewer strokes than Suraj. Since the difference is $6$ strokes, Dipti can take up to $5$ more strokes on the last hole to win. $\newline$ If Dipti takes $5$ strokes, her total would be $66 + 5 = 71$ strokes.
Verify Winning Possibility: Verify that the calculated number of strokes allows Dipti to win. $\newline$ If Dipti finishes the last hole in $5$ strokes, her total will be $71$ strokes, which is $1$ stroke less than Suraj's total of $72$ strokes. Therefore, Dipti would win.

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