Math Puzzles (Read the Rules!)

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Re: Math Puzzles (Read the Rules!)

Postby Timko » Thu Apr 15, 2010 3:49 pm

J-Bolt, where's the new problem?
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Re: Math Puzzles (Read the Rules!)

Postby Dogma » Thu Apr 15, 2010 4:37 pm

NoLifeLeft wrote:
Leopard wrote:how many midranges does it take to.. eh whatever


None








bitches

I giggled. Out loud.
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Re: Math Puzzles (Read the Rules!)

Postby J-Bolt » Thu Apr 15, 2010 5:58 pm

Sorry for the delay. Got the kids by myself this eve.

Timko, you can go ahead with yours. Unless you all can wait until later tonight when the kiddos are snoozing.
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Re: Math Puzzles (Read the Rules!)

Postby J-Bolt » Thu Apr 15, 2010 6:07 pm

Oh wait, heres an old easy one.

If one and half chickens can lay one and a half eggs in one and a half days. How many chickens does it take to lay 9 eggs in 9 days?

This one is too easy, almost like a pass. Best I could do with little time
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Thu Apr 15, 2010 6:56 pm

J-Bolt wrote:Oh wait, heres an old easy one.

If one and half chickens can lay one and a half eggs in one and a half days. How many chickens does it take to lay 9 eggs in 9 days?

This one is too easy, almost like a pass. Best I could do with little time


1 egg/chicken every 1.5 days ... 6 cycles = 6 eggs/chicken. 2 chickens?
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Re: Math Puzzles (Read the Rules!)

Postby tito » Thu Apr 15, 2010 7:07 pm

1.5 chickens, duh

because:
1.5 chicken = 1.5 eggs/1.5 days = 1 egg/1 day
so the same 1.5 chicken will produce 9 eggs after 9 days!
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Re: Math Puzzles (Read the Rules!)

Postby Chuck Kennedy » Thu Apr 15, 2010 7:47 pm

(Yes, I read the rules but didn't it say someone else could jump in if the last answerer didn't have a puzzle within 40 minutes?)

Here's a fun one I prepared for the Sr. High math module in the EDGE program:

A disc manufacturer has received an order for 200 specially stamped discs for a tournament. Each disc must weigh at least 170 grams. The manufacturing operation has various steps. Each step some discs must be rejected for one reason or another. Your job is to figure out how many discs must be molded to make sure that 200 satisfactory discs will remain to meet the order specifications. The mold makes two discs at a time. Two discs are immediately rejected from every 100 molded. Five more discs are rejected from dome sag after cooling out of every 100 that make it this far. Ten percent of the remaining discs will be lighter than 170 grams.
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 3:58 am

Chuck Kennedy wrote:(Yes, I read the rules but didn't it say someone else could jump in if the last answerer didn't have a puzzle within 40 minutes?)

Here's a fun one I prepared for the Sr. High math module in the EDGE program:

A disc manufacturer has received an order for 200 specially stamped discs for a tournament. Each disc must weigh at least 170 grams. The manufacturing operation has various steps. Each step some discs must be rejected for one reason or another. Your job is to figure out how many discs must be molded to make sure that 200 satisfactory discs will remain to meet the order specifications. The mold makes two discs at a time. Two discs are immediately rejected from every 100 molded. Five more discs are rejected from dome sag after cooling out of every 100 that make it this far. Ten percent of the remaining discs will be lighter than 170 grams.


I was waiting for a judgment! But okay.

1.) Takes 100 to get 98, so you need to stamp 50/49ths to get to...
2.) Takes 100 to get 95, so you need 20/19th's to get to...
3.) Takes 100 to get 90, so you need 10/9ths to get to target.

So I think this looks like:

F(x)
= 10/9 * 20/19 * 50/49 * x
= ( 10000 * x ) / 8379

So, asking the google for the total:

(200 * 10 000) / 8 379 = 238.69

I'm gonna say 240. (239 + 1, mold does two at a time).

I need a confirmation from Chuck and J-Bolt before I can post the next one, it's a doozy :)
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Re: Math Puzzles (Read the Rules!)

Postby J-Bolt » Fri Apr 16, 2010 4:46 am

1.5 chickens, duh


Tito got mine.
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Re: Math Puzzles (Read the Rules!)

Postby JimW » Fri Apr 16, 2010 5:30 am

The puzzle conditions are invalid, we all know those 10 percent are going to be marked 170g and sent out anyway. :lol:
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Re: Math Puzzles (Read the Rules!)

Postby Chuck Kennedy » Fri Apr 16, 2010 6:40 am

I'm gonna say 240. (239 + 1, mold does two at a time).

Answer confirmed. (hopefully, their true production process doesn't have this many rejects!)
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Re: Math Puzzles (Read the Rules!)

Postby NoLifeLeft » Fri Apr 16, 2010 6:47 am

Chuck Kennedy wrote:
I'm gonna say 240. (239 + 1, mold does two at a time).

Answer confirmed. (hopefully, their true production process doesn't have this many rejects!)


22-23 of those were only under the weight of the order, so only 17-18 would be X-outs. By those numbers, about 70 X-outs per 1000 disc run.
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Re: Math Puzzles (Read the Rules!)

Postby Timko » Fri Apr 16, 2010 7:33 am

Chiggins gets to ask the next question. Rules have been ammended to state that the current question must be answered and validated before moving onto the next one.
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 8:14 am

J-Bolt wrote:
1.5 chickens, duh


Tito got mine.


Except that 1.5 per 1.5 per 1.5 works as an average, or for purposes of establishing rate, but in reality a half chicken cannot lay an egg at all.

Therefore: if you want to get 9 eggs in 9 days, you'll need 2 chickens, which will give you 12 eggs that you can take your 9 from. 1 chicken would only give you 6, and 1 and a half chickens would also only give you 6.

Come on now. :)
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Re: Math Puzzles (Read the Rules!)

Postby chiggins » Fri Apr 16, 2010 8:18 am

Disclaimer, I asked the Internet for help on this one, better something good than anything I can remember right now. But it's a good one, and the solution's is pretty nifty.

So, you've got 10,000 lbs. of grain in Townburg, and you want to get as much of it as you can to Big City 1,000 miles away. You've got a camel that can carry 1000 lbs. at a time, and eats a pound of grain per mile. You can safely stash your grain along the route and come back to it. How much grain can you get to Big City?
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