The worlds first riddle!

least # of balls --8
Wendy's right answer is 15
Jon pays $24

Rap

Try, how thoughtful of you to remark on my achievement of the 2000 post milesone. i couldn't have done it without threads such as this.

What number comes next in the pattern, and why
2, 3, 6, 15, 42, _____

123

2 + 3/3 = 3
3 + 3 = 6
6 + 3x3 = 15
15 + 3x3x3 = 42
42 + 3x3x3x3 = 123

i may have seen this elsewhere already, but i calculated it anew.

Neat yitwail

if F(0)=2 then
F(n)=F(n-1)+3^(n-1)

the sequence becomes
n f(n)
0 2
1 3
2 6
3 15
4 42
5 123
6 366
7 1095
8 3282
9 9843
10 29526
etal.

Rap

JON
$311

I am something people count on,
But I'm not your fingers or toes.
I am the comfort in your heart,
When your mind's not sure it knows.
People often call me blind,
For I have no eyes to see.
Several times I have been lost,
But I cannot be given away.

What am I

friendship, perhaps

Arithmetic error.

Jon pays $21 (I wrote a spreadsheet)

Jon owes $386 and gets $5 credit for every $25. So the first reduction is
Int(386/25)=15 Remander of 11 so he pays $(15*20+11)=$311

But under the rules this is greater than $25 and he gets a further reduction, and the second reduction is Int(311/25)=12 with a remainder of 11 so he pays $(12*20+11)=251

This is repeated until he finally owes less than $25. This takes 15 reductions and by my spreadsheet it figgered as

red/ amt/ n(386/25)/ rem/ n*20+rem
1 386 15 11 311
2 311 12 11 251
3 251 10 1 201
4 201 8 1 161
5 161 6 11 131
6 131 5 6 106
7 106 4 6 86
8 86 3 11 71
9 71 2 21 61
10 61 2 11 51
11 51 2 1 41
12 41 1 16 36
13 36 1 11 31
14 31 1 6 26
15 26 1 1 21

Finally after the 15 reduction the amount owed is less than $25

Rap

# BALLS
It is 7. The first six could have been split 2/2/2.

ROCKER
$5000

ODD NUMBER
4005

THREE NUMBERS
30

EXCHANGED DIGITS
125

WORD
few

FOOD/DRINK
fire?

Chair $5000 8850/100*$5000=$442,500 It musta been that Maloof chair

2003rd odd number is 4005=2(2003)-1

middle # is 30
x+y+z=98
x=2/3y y=5/8z so x=2/3*5/8z=10/24z
10/24z+5/8z+z=25/24z=98
so z=48 and y=5/8*48=30

125 or 521
(ABC)(CBA)=65125
AC*10000+B(A+C)*1000+(A^2+B^2+C^2)*100+B(A+C)*10+AC=65125
so AC=n*10+5 and AC+1=6 so A=1, C=5 & n=0
so B(A+C)=m*10+2 since A+C=6 B=2 and m=1
so ABC=125 and CBA=521
& (125)(521)=65125

Rina lives in the dorm (this was rushed)

That word---Fewer (this was telegraphed)

Rap

actually, i might be up to 3000 by now, if i hadn't wasted time on riddles.

Yitwail wrote, "actually, i might be up to 3000 by now, if i hadn't wasted time on riddles."

Sincere apologies, but the Doc said it was the only way to slow you down, and let me catch up


You guy's look far too good. Let us kick it up a notch.


A fire fighter is standing on the middle rung of a ladder. He moved up 9 rungs. The smoke got worse, so he moved back down 13 rungs. When the smoke cleared, he went up 19 rungs to the top. How many rungs does the Ladder have



A gardener has 36 poinsettia plants to ship to local florists. He ships them in boxes of 4 plants, or boxes of 3 plants. How might he ship all 36 plants if all boxes shipped must be full? How many solutions are possible



A multiple-choice test contains 40 items. A correct response earns 5 points, but 2 points are deducted for every incorrect response. Nothing is given nor deducted if the question is unanswered. Michelle scored 96. How might she have gotten this score
Find as many solutions as you can.

Firefighter
Ladder has odd number of rungs
so ladder has 2n+1 rungs Firefighter stands on the (n+1)th rung
so
2n+1=n+1+9-13+19
2n+1=n+16
n=15
so ladder has 31 rungs (2*15+1)

Poinsettia
4 possibilities
if x is # of 4 pot boxes
& y is # of 3 pot boxes
then 4x+3y=36
and x & y are positive integers
x+y=# of boxes
min # of boxes is 9
max # of boxes is 12
9 boxes---9, 4 pot boxes-- 0, 3 pot boxes
10 boxes--6, 4 pot boxes--4, 3 pot boxes
11 boxes--3, 4 pot boxes--8, 3 pot boxes
12 boxes--0, 4 pot boxes--12, 3 pot boxes

Michelle's test
R is # of right answers
W is # of wrong answers
N is # of no answer
R+W+N=40
5R-2W=96
R=(176-2N)/7=176/7-2N/7
176mod7=1
Rmod7=0
what (2N)mod7=1?
N=4,11,18,25
then
R=24,22,20,18
and
W=12,7,2,-3
but all answers (& no answers) have to be positive integers
so there are 3 possibilities
these are
R=24,22,20
W=12,7,2
N=4,11,18
for an score of 96.

Rap

LADDER
31

PLANTS
12*3, 0*4
8*3, 3*4
4*3, 6*4
0*3, 9*4
total number of solutions = 4

TEST
20 correct, 2 incorrect
22 correct, 7 incorrect
24 correct, 12 incorrect
total number of solutions = 3

Mark:

ROCKER
$5000

ODD NUMBER
4005

THREE NUMBERS
30

EXCHANGED DIGITS
125

WORD
few

FOOD/DRINK
fire

Clean sweep


Rap:
"It musta been that Maloof chair"

If you have a set, you are on to a sure thing.

2003rd odd number is 4005=2(2003)-1

middle # is 30

125 or 521

"Rina lives in the dorm (this was rushed)"

No excuses accepted, you are still right.


"That word---Fewer (this was telegraphed)"

We are here to help.



Li'l Turtle has $15.25 worth of nickels and dimes in her piggy bank. If she has an odd number of dimes and if she has more dimes than nickels, what is the largest number of nickels that she can have


I'm thinking of two secret numbers A and B.
A + B = -7
A - B = -17
What is the product of A and B


Rap got a fancy new digital watch for Christmas but he couldn't figure out how to set it. He figured out that his new watch was 5 hours and 38 minutes slow. If the correct time is 2:16 what time does his watch say


The perimeter of a square is 60% of the perimeter of a triangle whose sides measure 43, 47, and 50. What is the number of square units in the area of the square


The more you take, the more you leave behind.

I am


My first is a number, my second another,
And each, I assure you, will rhyme with the other.
My first you will find is one-fifth of my second,
And truly my whole a long period reckoned.
Yet my first and my second (nay, think not I cozen),
When added together will make but two dozen.

How many am I


What do you fill with empty hands


I will get to part II later. Off to Stonehenge now.

Li'l Turtle has 103 dimes and 99 nickles

The product of the two numbers is -60

Rap's watch says 8:38

The area of the square is 441

Time

The first is 4, the second 20 (but they don't Rhyme)

Applause

Rap

Challenge: choose 3 numbers and use only (-, /, *, +) and brackets if needed.

Rules:
You do not need to use all three numbers. Form expressions for the successive numbers from one up, until you can't go further. I did write numbers, and not digits.

What is the highest you can get?


For instance the numbers 1 2 3, have a break point 9.

1 = 1
2 = 2
3 = 3
4 = 1 + 3
5 = 2 + 3
6 = 1 + 2 +3
7 = 3 * 2 + 1
8 = 2 * ( 3 + 1)
9 = 3 * ( 2 + 1 )
10 not possible

Higest break point so far 17.

FIRST/SECOND
four and a score

??
10=3*3+1
11=3*3+2
12=(3+1)*3
13=(3+1)*3+1
14=(3*2+1)*2
15=(3+2)*3
16=(3+2)*3+1
17=(3+2)*3+2
18=3*3*2
19=3*3*2+1
20=(3+2)(3+1)

Rap

Of Course! No wonder my forehead is sloped.

Rap

Five day ago this problem was set by a cunning math wizard:





Whim had no problem with it. I however, have thought thro every available combination and failed miserably……

Until now, Eureka!