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So, I want to buy a Boss Hoss shirt for $97,

Parents lend me $50 each so I buy it and have $3 change,

I give them back $1 each and leaves me with $1,

That means I now owe them $49 each...?

$49 + $49 = $98

So where's that other $1 gone?

That is a brain teaser for sure- maybe after an afternoon cocktail I can ponder it

Give them back the $50 each that you borrowed...the rest is non sense and does not figure in to the equation.

It is still in your hand

Sure is still in that back pocket of yours Steve

With those dollars knocking about let's say you have 8 dollar coins, they all look identical but 1 is a counterfeit (slightly heavier than the other 7). You have a coin scale but only 2 weighings are allowed - a straighforward coins in each dish scale.

How do you determine the counterfeit in only 2 weighings?

Put 3 coins in each tray and work from there.
If it balances, then figure on the other two and weigh them.
If the 1st weighing shows imbalance then take the heavier 3 coins and weigh two of those.
If they balance then it's the other coin - that should do it!

Smart cookie award goes to Steve, should have taken about 1 minute once the 4-4 route was decided as out of bounds. Anyway, back to ship-tracking.