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Pick the right venue

I’m a fan of the scale where my brother swims. It reported me, before we headed up Katahdin, as less than one cat over marathon weight. I think that’s probably optimistic, but not wildly inaccurate.

The scale in the fieldhouse, however, says I’m nearly half a cat under weight, which strikes me as flat-out absurd. Sure, I’ve been eating erratically lately (every now and then a schedule is too tight to allow lunch,) and probably less, overall, than before. But not that much.

Comments

The obvious solution here is that your mass is constant and the cat’s mass doubled. m + C1 = P1 m - 0.5(C2) = P1

2*C1 = C2

You’ve got a sign issue: if

m + C1 == m - 0.5(C2) // Follows from postulates 1 and 2

then

C1 == -0.5(C2) // Subtraction - “m”s cancel.

since m is also a constant. Your solution requires the cat to have negative mass, which, while sometimes suggested by observation, is seldom the case when he’s sitting on your chest asking for breakfast.

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