The worlds first riddle!

That's not quite true. A gallon of water weighs 8.33 pounds.

Figure 1
[size=7]500 pages
All but 100
1,21,31,41,51,61,71,81,91=9
10,12,13,14,15,16,17,18,19=9
11=1
Normal = 19
100
100-199=100
4*19+100=176 individual numbers will contain at least one "1"[/size]

P*Q=>(P+Q)/2
[size=7]3*(6*8)+>[3+(6+8)/2]/2=[3+7]/2=5[/size]

Bars and bigamy
[size=7]The two men were once married to the same woman. The daughter was adopted by one of the men and either was once adopted by the other man or was her biological father.

Hey! Divorces and bigamy happens.[/size]

3 Switches
[size=7]Turn all lights off, hang a DO NOT OPERATE tag and let sit for an hour or so whilst the maintenance guy pretends to solve hardware problems. Then turn two of the lights for about 5 minutes turn one of these switches off. Now go in the room. One is on, one is off and hot, one is hot and cold. You got three conditions for separation of switches and light bulbs.[/size]

Rap c∫;?/

markr--a pints a pound the world around, and 8 pints in a gallon.

The bulk density I normally use for water is about 60 pounds per cubic foot and there are about 7.48 gallons in a cubic foot, fer a density of 8.02 #/gal which is close enough.

On the other hand when in the mks system I use the density from my Nuclear Reactor Engineering Textbook that gives it as 1000kg/m^3 which corresponds to 62.42#/ft^2 or 8.34 #/gal.

So smile, everybody is right.

Try
Fergotten quizzle
1/A+1/B=1/3 if A=4 'n' B=12 or verse' visa
This kinda reminds me of Egyptian Fractions

Rap
Rap

A pound per pint is great for estimation, but certainly not for commerce.

Yeah! I kinda like a long ton per cubic meter.

Rap

Thanks for coming to my aid Rap, Mark loves to wail on me any chance he gets and I sure give enough opportunities.

It's race day in Cowes, I hope to return cup in hand.

"She can't be pregnant cos she aint married yet"

Since when is marriage a prerequisite for pregnancy?

[size=7]MAN & BAR
A bar to the head will do that to you. Was it the same bar that was across Jason's back?

FREE THROW
Apparently, the FTs in the last two minutes aren't included in the season stats. Otherwise, there'd be a problem with Jody's numbers.

Since we don't know the circumstances of the FTs in the last two minutes (were the games close or blowouts?), I'd combine the stats to get an overall percentage and go with Rose, who has the highest percentage and nearly the most attempts.

57 GAMES
4

EVEN NUMBERS
60

CHARTERED BOAT
175

30 FACTORIAL
6[/size]

"Please be so kind as to not ask how the racing went. Thank you."

I guess you're still across the Atlantic?

30 FACTORIAL
7 is correct. I counted two for 25, but added them up wrong.

CHARTERED BOAT
I'm assuming that the price for all passengers goes down by a nickel times the number of passengers over 150. I maximized:
N*(10-(N-150)*.05)
Perhaps I interpreted the problem wrong.

[size=7]COUNT BY 3'S
150

TERMINAL ZEROS
Since it has 4 fives, it will have 4 terminal zeros.

REMAINDERS
57

NANCY
7

MACDONALD'S FARM
Were the workers beasts of burden?

PORN
Since we know Jason is a rat (this must be prior to the iron bar being across his back), perhaps Jerry and the Kevin are also rats (as far as I know, rats are not immoral).[/size]

COWES
You didn't sink, did you?

7 factors of 5 in 30! 1 each in 5,10,15,20 & 30 and 2 in 35.

Boat optimization

C=n[10-(n-150)*5/100]=n/100[1000-n+750]=(1750n-5n^2)/100=[350n-n^2]/20
dC/dn=0=350-2n so n=175

at n=175
then each passenger pays $10-25*0.05=$8.75
C=175*$8.75=$1531.25

Works for me

Rap

COWES
"You didn't sink, did you?"

The wind was so slight it fell short of blowing out candles on a cake. Rap could have peddled faster. Give me an engine anytime.


Mark wrote, "Perhaps I interpreted the problem wrong."

Looking a rap's answer, so did I.

Rap:
Boat optimization

C=n[10-(n-150)*5/100]=n/100[1000-n+750]=(1750n-5n^2)/100=[350n-n^2]/20
dC/dn=0=350-2n so n=175

at n=175
then each passenger pays $10-25*0.05=$8.75
C=175*$8.75=$1531.25

Works for me

(Wow! Works for me too.)




A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the track at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least number of minutes it must take for all three to be together again


Three water pipes are used to fill a swimming pool. The first pipe alone takes 8 hours to fill the pool, the second pipe alone takes 12 hours to fill the pool, and the third pipe alone takes 24 hours to fill the pool. If all three pipes are opened at the same time, how long will it take to fill the pool

The Pool made a fool out of me

Nth entry
[size=7]2+3*n=449
so n=149
since n=0 is the first entry
449 is the 150th entry[/size]

20! Terminal 0's
[size=7]20 has 4 factors of 5 and at least 4 factors of 2, so there are four terminal 0's (10^4)[/size]

not so divisible number
[size=7]n=57
57mod4=1
57mod5=2
57mod6=3[/size]

Test
[size=7]r+w=10
5r-2w=29
7r=49 so r=7 w=3
7 right answers[/size]

Old MacDonald was a bee farmer

Jason, Jeremy and Kevin are dogs and are all in trouble for being on the couch.

Rap c∫;?/

[size=7]CIRCULAR TRACK
B laps A every 10 minutes
C labs B every 10 minutes
10 minutes

T/8 + T/12 + T/24 = 1
3T + 2T + T = 24
6T = 24
T = 4 hours[/size]

COWES
Were you a frustrated participant or a bored observer?

[size=7]TRAIN
12

REMAINDER
91

AVERAGE
10

TOY TRAIN
29

MONEY
40[/size]

passengers
triangular numbers
n(n+1)/2=78
n^2+n-2*2*3*13=0
(n+13)(n-12)=o
n=12 stops

Divisible #
[size=7]trying new shorthand here n|3 & n|5 so n|15
{15|7;1,2,3,4,5,8 E15,30,45,60,75,80}| so n=15[/size]

consecutive #
[size=7]Sum=15n+14*15/2=15(n+7)
so n+7=15 and n=8[/size]

Toy trains
[size=7]29,30,31,32,33
29 is the 0ne
30|6=0, 31|6=1, 32|6=2, 33|6=3
29|6=5 Thhere are only 4 6" cars
Confirm---29"[/size]

Nickles and Dimes
[size=7]a-b=0
10a+5b=600
15a=600
a=40, b=40
so 40 dimes and nickles.[/size]

Rap



[

Mark:

TRAIN
12

REMAINDER
91

AVERAGE
10

TOY TRAIN
29

MONEY
40


Rap:

passengers
triangular numbers
n(n+1)/2=78
n^2+n-2*2*3*13=0
(n+13)(n-12)=o
n=12 stops

Divisible #
trying new shorthand here n|3 & n|5 so n|15
{15|7;1,2,3,4,5,8 E15,30,45,60,75,80}| so n=15

'Go back to longhand'

consecutive #
Sum=15n+14*15/2=15(n+7)
so n+7=15 and n=8

Toy trains
29,30,31,32,33
29 is the 0ne
30|6=0, 31|6=1, 32|6=2, 33|6=3
29|6=5 Thhere are only 4 6" cars
Confirm---29"

Nickles and Dimes
a-b=0
10a+5b=600
15a=600
a=40, b=40
so 40 dimes and nickles.




The air above planet Xarz is thick with 258,750 soaring hifi-lees. Unfortunately, hifi-lees must pay a yearly fee for using airspace. Infant hifi-lees travel up to 10 miles per day and pay a $1 fee; children travel up to 20 miles per day and pay a $2 fee; teenagers fly 31 to 50 miles per day and pay a $3 fee; adults travel over 50 miles per day and pay a $4 fee.

The hifi-lee fee collector says there are three times as many teenagers as children, one-half as many adults as teenagers, and one-fourth as many infants as children this year. How much money will the collector get from the hifi-lees this year


On the planet Pluto, the heater salesman has a very lucrative business. This year, Mr. Zerox has added to his heater line and now carries the jumbo heater for 16 etrogs. (That is the equivalent of $23.40 in US currency). He also has the giant heater for $18.35, the large-sized heater for $13.50, the medium-sized heater for $8.65, and the small heater at $3.77. So far this month Mr. Zerox has sold 72 heaters for a total number of etrogs equal to $974.38.

How many heaters of each size has he sold


If you cut a cardboard tube, you will find that it is a rectangle. How much cardboard is used in a tube if its length is 5.5 inches and its circumference is 6 inches


If you put milk in a milk jug, tea in a teapot, butter in a butter dish, what do you put in a toaster

The Taxman collecteth
[size=7]Solving as Matrix
inf chi tnger adt
1 0 0 0 11250 $11250
0 1 0 0 45000 $135000
0 0 1 0 135000 $405000
0 0 0 1 67500 $270000

The Tax man gets $821250[/size]

Monthly Heater Sales
[size=7][size=7]jumbo-14 giant-0 med-44 smal-14l
$327.6 $0 $594 $52.78 $974.38[/size][/size

Cardboard
[size=7]rectangle is 5.5in tall and 6 inches long (33 in^2 cardboard)[/size]

You put bread in a toaster

Rap