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<p>[QUOTE=&quot;NSP, post: 2322002, member: 74849&quot;]Here&#039;s a more mathematical approach...if anyone cares. Assuming the four coins are only comprised of silver and copper, I came up with the following system of equations:</p><p><br /></p><p>[ATTACH=full]469465[/ATTACH] </p><p><br /></p><p>Where the coins are numbered 1 through 4 (i.e. - the subscripts that contain 2&#039;s all apply to coin 2 for example), the X&#039;s are the percentages of each metal for each coin, and the M&#039;s are the masses of each coin, or the mass of silver/copper in each coin. The first four equations basically say that the fineness of silver times the mass of the silver in the coin plus the fineness of the copper times the mass of the copper in the coin equals the total mass of the coin. The 5th equation says that all four coin&#039;s masses add up to get the total mass. The last four equations say that the finenesses of the silver and copper have to add up to 1 (100%).</p><p><br /></p><p>Since we only would know the total mass (underlined), we would be left with 20 unknowns and only 9 equations. We need an equal number of equations and unknowns to solve, so you&#039;d need to find 11 of the unknowns (i.e. - finenesses, coin masses, mass of the silver in the coins, etc.) to solve. </p><p><br /></p><p>TL;DR: I wasted a bunch of time confirming what everyone said because I have no better way to spend Friday nights. <img src="styles/default/xenforo/clear.png" class="mceSmilieSprite mceSmilie85" alt=":smuggrin:" unselectable="on" unselectable="on" />[/QUOTE]</p><p><br /></p>

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