Using the new BrainBashers programming language, BrainBasic, the following words have their equivalents next to them, what should FOX be? CLICK = 100501100KMILK = 1000150KLOG = 50OGLIFE = 501FEALIVE = A5015EFOX = ?
Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.Whereas Drew has the same number as the other three shepherds put together.If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.If they were evenly distributed, they'd each have eleven sheep.
By (4): A + B + C + D = 44
And, by (2), these are shared equally between A + B + C and D.
So D = 22, and A + B + C = 22 (*)
By (1): A + 3 = B − 1 A + 4 = B
By (3): C − 3 = 3A C = 3A + 3
Substitute B and C in (*):
A + (A + 4) + (3A + 3) = 22 5A + 7 = 22 5A = 15 A = 3
Frankie the Squirrel can find one acorn in 15 minutes and Glenn the Squirrel can find one acorn in 12 minutes. As autumn approaches, they both work all day and all night.
However, Alex the Squirrel is eating their collection! It takes Alex 20 minutes to eat an acorn, and Alex eats all day and all night long (and starts on yesterday's acorns).
How many extra acorns will there be at the end of a 24-hour day?
Reasoning
Frankie finds 4 acorns every hour, Glenn finds 5 acorns every hour and Alex eats 3 acorns every hour, so the nett total per hour is 4 + 5 − 3 = 6.
Which is 6 x 24 = 144 extra acorns in a day.
??
Puzzle 4
Take a set of three letters from the left column, and a set of three letters from the right column and merge them together, without changing the order of the letters in each half (matching sets might not be on the same row).
Example 1: wmb + oat and oat + wmb both equal wombat.
Example 2: rbt + abi and abi + rbt both equal rabbit.
Can you find the six animals that have been split in half?
cyo aru
wls dne
ear fee
oky ote
rrt jar
agu bve
