# As a prize, a contest winner gets to draw out one bill at a time from a box containing 10 five-dollar bills, 10 ten- dollar bills, and 10 twenty-dollar bills. What is the largest sum of money that can be won under these conditions?

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The drawing ends when 3 bills of the same denomination are drawn, and, of course, the contest winner keeps whatever he has drawn.

The drawing ends when 3 bills of the same denomination are drawn, and, of course, the contest winner keeps whatever he has drawn.

See a solution process below:

The largest denomination of bill is $20.

So, to start finding the maximum able to be drawn, they contest winner would draw 3 $20 bills =$60.

Prior to drawing the 3rd $20 bill, the contest winner could draw 2 of the$5 bills and 2 of the $10 bills. This added to the$20 bills they had drawn would give:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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