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Hint: These are the first letters of the words: A, C, D, D, I, L, M, N, P, R.
Answer:
acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle
Puzzle 78
Three countryfolk met at a cattle market. "Look here," said Hodge to Jakes, "I'll give you six of my pigs for one of your horses, and then you'll have twice as many animals here as I've got."
"If that's your way of doing business," said Durrant to Hodge, "I'll give you fourteen of my sheep for a horse, and then you'll have three times as many animals as I."
"Well, I'll go better than that," said Jakes to Durrant; "I'll give you four cows for a horse, and then you'll have six times as many animals as I've got here."
No doubt this was a very primitive way of bartering animals, but it is an interesting little puzzle to discover just how many animals Jakes, Hodge, and Durrant must have taken to the cattle market.
[Puzzle Code = ZUCK] At A Cattle Market. Amusements In Mathematics by Henry Ernest Dudeney (1917).
Direct Link: www.brainbashers.com?ZUCK
Hint: A little algebra might help.
Answer:
Jakes must have taken 7 animals to market, Hodge must have taken 11, and Durrant must have taken 21. There were thus 39 animals altogether.
This can be solved with a little algebra, where J  Jakes, H = Hodge and D = Durrant:
From the clues:
2 x (H  6 + 1) = J + 6  1 [1]
3 x (D  14 + 1) = H + 14  1 [2]
6 x (J 4 + 1) = D + 4  1 [3]
These can be rearranged to give:
2H  J = 15 [4] 3D  H = 52 [5] 6J  D = 21 [6]
We can now use 2 x [5] + [4] to give:
6D  J = 119 [7]
We can now use [7] + 6 x [6] to give:
35J = 245 J = 7
We can then use J = 7 in [4] and [6] to give H = 11, and D = 21.
Puzzle 79
Starting with a five letter word, change one letter to create a new word. This word is then changed by one letter to create another new word.
For example, DOG, DIG, FIG etc.
These words in turn mean:
a gaggle of geese
a device for measuring time
what you can do with a mouse
a baby chicken
a device to prevent wheels from moving
a surprise
a small house
a pile of cards
a small piece of wood
unable to move
FLOCK = a gaggle of geese
CLOCK = a device for measuring time
CLICK = what you can do with a mouse
CHICK = a baby chicken
CHOCK = a device to prevent wheels from moving
SHOCK = a surprise
SHACK = a small house
STACK = a pile of cards
STICK = a small piece of wood
STUCK = unable to move.
From the atomic element's symbols which are spelling February: Fe + Br + U + Ar + Y.
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