## Poll

15 votes (53.57%) | |||

11 votes (39.28%) | |||

5 votes (17.85%) | |||

2 votes (7.14%) | |||

8 votes (28.57%) | |||

3 votes (10.71%) | |||

5 votes (17.85%) | |||

4 votes (14.28%) | |||

10 votes (35.71%) | |||

7 votes (25%) |

**28 members have voted**

Quote:ThatDonGuyQuote:acesideQuote:GialmereIt's easy Monday. Let's change things up...

g]

without being able to change a $20 bill?

I’ve read this part several times but still haven’t got its exact meaning. Can you rephrase this part into precise mathematical terms?

You cannot make exactly $20 with any combination of bills and coins. You can have more than $20, but not exactly $20.

I have thought about this again. I would state the question like this “without being able to change any partial amount to a $20 bill.”

That phrasing is confusing to me. Don’t understand “partial amount.” I would say either “without being able to break a 20” or “without having exact change for a 20.”Quote:acesideQuote:ThatDonGuyQuote:acesideQuote:GialmereIt's easy Monday. Let's change things up...

g]

without being able to change a $20 bill?

I’ve read this part several times but still haven’t got its exact meaning. Can you rephrase this part into precise mathematical terms?

You cannot make exactly $20 with any combination of bills and coins. You can have more than $20, but not exactly $20.

I have thought about this again. I would state the question like this “without being able to change any partial amount to a $20 bill.”

Quote:unJonThat phrasing is confusing to me. Don’t understand “partial amount.” I would say either “without being able to break a 20” or “without having exact change for a 20.”Quote:acesideQuote:ThatDonGuyQuote:acesideQuote:GialmereIt's easy Monday. Let's change things up...

g]

without being able to change a $20 bill?

I’ve read this part several times but still haven’t got its exact meaning. Can you rephrase this part into precise mathematical terms?

You cannot make exactly $20 with any combination of bills and coins. You can have more than $20, but not exactly $20.

I have thought about this again. I would state the question like this “without being able to change any partial amount to a $20 bill.”

You are right. “Without having exact change for a $20 bill” is good.

Quote:acesideQuote:unJonThat phrasing is confusing to me. Don’t understand “partial amount.” I would say either “without being able to break a 20” or “without having exact change for a 20.”Quote:acesideQuote:ThatDonGuyQuote:acesideQuote:GialmereIt's easy Monday. Let's change things up...

g]

without being able to change a $20 bill?

I’ve read this part several times but still haven’t got its exact meaning. Can you rephrase this part into precise mathematical terms?

You cannot make exactly $20 with any combination of bills and coins. You can have more than $20, but not exactly $20.

I have thought about this again. I would state the question like this “without being able to change any partial amount to a $20 bill.”

You are right. “Without having exact change for a $20 bill” is good.

Also, I want to simply this question a little as below.

Using only pennies, nickels, dimes, quarters, $1 bills, and $5 bills, what is the most money that you can have without having exact change for a $10 bill?

Quote:ThatDonGuyOkay, not exactly a math puzzle...

In a game of chess, after White's fifth move, h1 is empty. (h1 is where White's king-side rook begins.)

Black's fifth move is rook to h1, checkmate.

What were the first 9 moves of the game?

1. g4 h5

2. Bg2 h5xg4

3. Bxb7 Rxh2

4. Nh3 Bxb7

5. O-O Rh1++

A very odd set of moves for both sides!

Quote:JoemanThis was a toughie. I kept coming up with 6 move solutions until I realized that white's knight had to wait until black's rook passed to move.

1. g4 h5

2. Bg2 h5xg4

3. Bxb7 Rxh2

4. Nh3 Bxb7

5. O-O Rh1++

A very odd set of moves for both sides!

Can anybody make a 30 second video to demonstrate these moves? That would be a lot more straight.

Quote:acesideQuote:acesideQuote:unJonQuote:acesideQuote:ThatDonGuyQuote:acesideQuote:GialmereIt's easy Monday. Let's change things up...

g]

without being able to change a $20 bill?

I’ve read this part several times but still haven’t got its exact meaning. Can you rephrase this part into precise mathematical terms?

You cannot make exactly $20 with any combination of bills and coins. You can have more than $20, but not exactly $20.

I have thought about this again. I would state the question like this “without being able to change any partial amount to a $20 bill.”

You are right. “Without having exact change for a $20 bill” is good.

Also, I want to simply this question a little as below.

Using only pennies, nickels, dimes, quarters, $1 bills, and $5 bills, what is the most money that you can have without having exact change for a $10 bill?

Same concept I think. $10.19. Simplist is to ask most money you can have in pennies, nickels, dimes and quarters without having exact change for a dollar.

Quote:acesideQuote:JoemanThis was a toughie. I kept coming up with 6 move solutions until I realized that white's knight had to wait until black's rook passed to move.

1. g4 h5

2. Bg2 h5xg4

3. Bxb7 Rxh2

4. Nh3 Bxb7

5. O-O Rh1++

A very odd set of moves for both sides!

Can anybody make a 30 second video to demonstrate these moves? That would be a lot more straight.

Quote:unJonQuote:acesideQuote:acesideQuote:unJonQuote:acesideQuote:ThatDonGuyQuote:acesideQuote:GialmereIt's easy Monday. Let's change things up...

g]

without being able to change a $20 bill?

I’ve read this part several times but still haven’t got its exact meaning. Can you rephrase this part into precise mathematical terms?

You cannot make exactly $20 with any combination of bills and coins. You can have more than $20, but not exactly $20.

I have thought about this again. I would state the question like this “without being able to change any partial amount to a $20 bill.”

You are right. “Without having exact change for a $20 bill” is good.

Also, I want to simply this question a little as below.

Using only pennies, nickels, dimes, quarters, $1 bills, and $5 bills, what is the most money that you can have without having exact change for a $10 bill?

Same concept I think. $10.19. Simplist is to ask most money you can have in pennies, nickels, dimes and quarters without having exact change for a dollar.

Very good. Following Wizard’s solution, we have a similar:

1 quarter = $0.25

9 dimes = $0.90

4 pennies = $0.04

Total = $1.19

No nickels are required in this case.

Quote:GialmereQuote:acesideQuote:JoemanThis was a toughie. I kept coming up with 6 move solutions until I realized that white's knight had to wait until black's rook passed to move.

1. g4 h5

2. Bg2 h5xg4

3. Bxb7 Rxh2

4. Nh3 Bxb7

5. O-O Rh1++

A very odd set of moves for both sides!

Can anybody make a 30 second video to demonstrate these moves? That would be a lot more straight.

This is cool. Well done.