#1: Sylvain "WCPman" (qwerty) on Oct 12, 2008

I just want to try something here.

Each week I'm going to post an enigma here in this topic. The next sunday I'm going to post the answer and a new enigma.

No point no ranking no nothing except fun and possibly brain cramp..:)

I'm going to open a general topic name "This is my brainbuster answer" if you want to give us your take on the answer post it there.

Thank you all

#1 The Four Jays

Four friends, Jane, June, Jean and Jenny discovered that, if a different number was designated to each letter of their names and added togeter, it produced their ages.


June is 17, Jenny is two years older, while Jane and Jean are both sweet 16. All the girls agree that June is in her prime.

Can you find the numbers the girls assigned to each letter of their names?

Here is the official answer to #1

The little clue " June is in her prime" should have helped, as it suggests that all the numbers in her name are prime numbers. As the total is 17 all the numbers must be less than 10 so

J= 2
U=7
N=5
E=3

Setting these numbers in the word Jane or Jean we can conclude that 16 = 2 + A + 5 + 3 so A =6

Putting these numbers in the word Jenny in the same way we find Y = 4

thank you

#2: The Farmer's field

A farmer owned two pieces of land. The first was eigth times larger in area than the other, and the two were separated by an access road. He grazed cattle on the first, while he grew vegetables in the other.

As time went by, it became necessary to replace the fencing that surrounded the two fields. When the farmer measured the perimeters of both sections of land, he was surprised to find that it was going to take twice as much fencing to surround the samller area than it was to surround the larger.

Both section of land were rectangular in shape and the fences were continuous. The gates of the fields were to be removable section of fences.

How much fencing did he need to buy?


Good luck

here is the official answer to #2

the first piece of land measured 63 by 64 and the second 2 by 252 giving areas of 4032 and 504 respectively. Therefore the total length of fencing he needed to buy was:

2(63+64) +2(252+2) = 254+508=762

#3 changing Signs

This next puzzle is very straightforward. Below is a row of numbers. Using the signs for addition, subtraction, multiplication and division once each in the spaces between the numbers, complete the operation. Work from left to right.

Please no calculator here

2...3...4...5...6 = 10

I know the answer :o)
Didn´t use calculator.

oops.. forgot to read the rules.... I´ll try again ;o)

the answer (as Jan once again discover) was

2 / 3 - 4 + 5 x 6 = 10

Puzzle # 4 Extra letter

Below is a six by six matrix containing the quotation. It starts at one corner and moves from letter to letter in any direction except diagonally. To make the puzzle more intersting I have inserted an extra letter at the end of the quotation (so there are 36 letters given, but the quote only contains 35) Sneaky ? Well, you don't want it to be easy do you?

Wich is the letter that does not form part of the sentence?

I, D, A, N, D, L
A, E, E, W, T, E
M, T, W, H, A, N
O, D, S, O, C, B
O, G, H, V, E, E
B, E, R, E, L, C

More of a maze puzzle than a math puzzle. Here's the grid in a more griddy format:

I	D	A	N	D	L
A	E	E	W	T	E
M	T	W	H	A	N
O	D	S	O	C	B
O	G	H	V	E	E
B	E	R	E	L	C

thank Jan I don't know how to make such grid in the forum format

Only I can insert html in posts. It's useful, easily abused.

I understand thank for the grid

Answer to puzzle #4

extra letter

The quote is from The Farewell by Charles Kingsley. From the bottom left, the words can be traced: Be good sweet maid and let who can be clever. The letter H at the end is not part of the sentence.

Brainbuster #5: the gambler

Mr Mensaman was attending a convention in Las Vegas when he thought he would try his luck at the tables. The convention took place over four days, and he visited the casino every evening. Each time he arrived at the casino he had to pay an entrance fee of $100, and each time he left he gave the cloakroom attendant a $10 tip. Every evening, unlucky Mr Mensaman lost exactly half of what he started with, and went home after four days with only $10 in his pocket.

How much did Mr Mensaman have at the start of the four days?

Answer to brainbuster #5

1960$

many user were rigth

good job

Brainbuster #6

Chickens and Ducks

Old Farmer Giles finds that there is a demand for free-range eggs in the local village. To fill this demand he decides to start keeping poultry in his farmyard. He estimates the maximun number of birds he can accommodate is 25, and he is willing to invest $80 in livestock.

Off he goes to market the $80 tucked safely in his pocket. On arrival he finds chickens are selling at $4 each and ducks are on offer at $2 each. Speaking to more experienced poultry farmers, he finds he can expect at least five eggs per week from each chicken but only four eggs per week from each duck.

How many of each bird should he buy to obtain as many eggs per week as possible?

#6 answer

the maximun number of eggs per week, given the constraints of an $80 investment and a maximum number of 25 birds, will come from 15 chickens and 10 ducks:

15+10 = 25 birds
15X$4 + 10X$2 = $64 investment
16X5 + 8X4 = 115 eggs per week

#7 The Car Park

Up to 6 000 yd2 of land is available to build a car park for cars and small trucks. The local government has stipulated five conditions that must be met before the project can be put before the planning commitee for approval:

1- THere must be at least 50 spaces for trucks.
2- Each car must be allocated a minimum space of 15 yd2
3- Each truck must be allocated a minimum space of 30 yd2
4- The car park must have at least twice as many spaces for cars as for trucks.
5- Cars must be charged $2 par hour and trucks $5 par hour.

If these conditions are met, the commitee will need to know:

1- What is the largest number of vehicles the car park could hold?
2- What numbers of car spaces and truck spaces will actually be provided in order to generate maximum revenue ?

good luck to all

Since no one try to give the answer this week I'll let you with one more week to try this one. The answer and the new problem next sunday

Sylvain

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