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Puzzle for Today

Puzzle No. 504 – Tuesday 18 June

On this day in 1815, the Battle of Waterloo was where "Napoleon did surrender" according to the 1974 Eurovision winning entry by Abba . Assume that Napoleon's army had 70,000 men. There were twice as many men in the cavalry as there were in the artillery. There were also 7 times as many men in the infantry as there were in the artillery. If there were 250 guns in total, how many men were there per gun in the artillery section?

Today’s #PuzzleForToday has been set by Bobby Seagull, a school Maths teacher and Cambridge University Doctorate student.

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28 men per large gun.

You can use trial and improvement or set up as ratios. If A is number in the artillery, then cavalry is 2A and infantry is 7A. 10A = 70,000 so artillery is 7,000. 7,000/250 = 28 large guns.

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