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Omni-MATH / In a sports meeting a total of m medals were awarded over n days. On the first day one medal and (1)/(7) of the remaining medals were awarded. On the second day two medals and …

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problem

In a sports meeting a total of mm medals were awarded over nn days. On the first day one medal and 17\frac{1}{7} of the remaining medals were awarded. On the second day two medals and 17\frac{1}{7} of the remaining medals were awarded, and so on. On the last day, the remaining nn medals were awarded. How many medals did the meeting last, and what was the total number of medals ?
Plain-text mathematical notation (without MathML)
In a sports meeting a total of m medals were awarded over n days. On the first day one medal and (1)/(7) of the remaining medals were awarded. On the second day two medals and (1)/(7) of the remaining medals were awarded, and so on. On the last day, the remaining n medals were awarded. How many medals did the meeting last, and what was the total number of medals ?
Original LaTeX notation
In a sports meeting a total of $m$ medals were awarded over $n$ days. On the first day one medal and $\frac{1}{7}$ of the remaining medals were awarded. On the second day two medals and $\frac{1}{7}$ of the remaining medals were awarded, and so on. On the last day, the remaining $n$ medals were awarded. How many medals did the meeting last, and what was the total number of medals ?

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