Math Quiz:
A country currency consists of the following coins 1¢, 2¢, 5¢, 10¢, 25¢, 50¢. What is the most money you can have in coins and not be able to pay exactly $1?
It can be over a dollar

- .Sam.

- jamiebookeater

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- anonymous

Coin change problem.

- UnkleRhaukus

i guess you could have 99 1¢ pieces

- anonymous

This doesn't seem well-posed.

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## More answers

- .Sam.

It can be over a dollar

- anonymous

Then.. There is no limit on what you can pay.

- anonymous

Or perhaps I am not understanding correctly. You can have \(100\) 1 cent pieces, \(1000\) 1 cent pieces, \(10,000\) 1 cent pieces etc.

- UnkleRhaukus

one 50¢ and three 20¢ maybe

- anonymous

OH. I completely misread the sentence. My bad, yo.

- lgbasallote

ohhh pop quiz *_*

- anonymous

you can't hv 2 50's, 4 25's, 1 50's and 2 25's, 1 50's and 5 10's, 1 50 and 20 5's and so on....

- UnkleRhaukus

oh there are no 20¢ s only 25¢

- UnkleRhaukus

3×25¢ and 3×10¢ =$1.05

- UnkleRhaukus

*+4¢

- UnkleRhaukus

$1.09

- anonymous

ans. is 124 cents?

- .Sam.

@UnkleRhaukus nope :) , Hint: its greater than that

- anonymous

50, 25, {10,10,10,10,10,10,10,10,10}, 5, {2,2}
?

- anonymous

oops, nope.

- anonymous

First at most 1 50 cents, since 2 50 cents coins = $1 => $0.5
Then, at most 1 25 cents coin , since 2 25 cents coins = $0.5 => + 0.5 above = 1 (=> rejected)
Now, we've got $0.75
We can at most 4 $0.1 coins. since 5 x $ 0.1 = $ 0.5 + 0.5 above = $1 (=> rejected)
Now, we have $ 0.75 + $ 0.4 = 1.15
We CAN'T have $0.05 coin, since it 0.05 + 0.75 = 0.8 + 0.2 = 1 (=> rejected)
we can have at most 4$0.02 coins, since 5x^0.02 = $0.1 and 0.1+ 0.4 = 0.5 (rejected)
Now we have 1.23
No 0.01 ...
1.23?

- .Sam.

@RolyPoly is correct :D

- anonymous

Yay!!!~

- anonymous

50,25, 10, 10,10,10,2,2,2,2? oops 123

- anonymous

*No 0.01 since 0.01 + 0.02 + 0.02 = 0.05, that is similar to 0.05 case (=> rejected)

- anonymous

Thanks for the nice problem, .Sam.

- .Sam.

np :)

- anonymous

typo:
we can have at most 4$0.02 coins, since 5 x 0.02 = $0.1 and 0.1+ 0.4 = 0.5 (rejected)

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