At a recent visit to the reptile house at the local zoo, I counted a total of 27 heads and 70 feet.
I was counting snakes, lizards and people and I know that there were exactly twice as many lizards as people.
How many snakes did I count?
[Ref: ZLHO] © Kevin Stone
Hint: Snakes don't have legs.
6 snakes: 7 people and 14 lizards.
If we have S snakes, L lizards and P people.
The 27 heads gives us:
S + L + P = 27 
The 70 feet gives us:
4L + 2P = 70 
We also know that:
L = 2P 
Using  in  gives:
4 x 2P + 2P = 70
10P = 70
P = 7
Using P = 7 in  gives:
4L + 14 = 70
4L = 56
L = 14
Using L = 14 and P = 7 in  gives:
S + 14 + 7 = 27
S = 6
So S = 6, P = 7 and L = 14.
At the end of the last volleyball season, the main results table had been destroyed. Luckily, a number of people could remember the following snippets:
Arlington Wonderers finished above The Mad Hatters and Derby Surefires.
Eagle Cherrys finished above Arlington Wonderers, The Mad Hatters and Derby Surefires.
Happy Hours finished above Brookside Magic and Eagle Cherrys.
Eagle Cherrys finished above Foxtrot Kilos and Chippy Flippers.
The Mad Hatters finished below Chippy Flippers and Eagle Cherrys.
Foxtrot Kilos finished before Brookside Magic, Derby Surefires and The Mad Hatters.
Derby Surefires finished below Foxtrot Kilos, Chippy Flippers and Brookside Magic.
Arlington Wonderers finished below Chippy Flippers and Eagle Cherrys.
Brookside Magic finished below Eagle Cherrys, Foxtrot Kilos and The Mad Hatters.
Derby Surefires finished below The Mad Hatters and Eagle Cherrys.
Foxtrot Kilos finished below Arlington Wonderers and Eagle Cherrys.
Can you restore the correct league positions?
[Ref: ZSAO] © Kevin Stone
The Mad Hatters
Someone drove from Aardvark to Beeville.
On the first day they travelled 1/3 of the distance.
On day two they travelled 1/2 of the remaining distance.
On day three they travelled 2/3 of the remaining distance.
On day four, after covering 3/4 of the remaining distance, they were still 5 miles away from Beeville.
How many miles had they covered so far?
[Ref: ZNKP] © Kevin Stone
Hint: Try working backwards.
The total trip was 180 miles. Working backwards:
Day 4: travelled 3/4 leaving 5 miles, which means that 5 miles is 1/4, so 20 miles were left at the start of Day 4.
Day 3: travelled 2/3 leaving 20 miles, which means that 20 miles is 1/3, so 60 miles were left at the start of Day 3.
Day 2: travelled 1/2 leaving 60 miles, which means that 60 miles is 1/2, so 120 miles were left at the start of Day 2.
Day 1: travelled 1/3 leaving 120 miles, which means that 120 miles is 2/3, so 180 miles were left at the start of Day 1.
Of the 180 miles overall, 175 were covered in the 4 days.
DJ Music Festival
During a recent music festival, four DJs entered the mixing contest.
Each wore a number, either 1, 2, 3 or 4 and their decks were different colours.
DJ Skinf Lint came first, and only one DJ wore the same number as the position he finished in.
DJ Slam Dunk wore number 1.
The DJ who wore number 2 had a red deck and DJ Jam Jar didn't have a yellow deck.
The DJ who came last had a blue deck.
DJ Park'n Ride beat DJ Slam Dunk.
The DJ who wore number 1 had a green deck and the DJ who came second wore number 3.
Can you determine who came where, which number they wore and the colour of their deck?
[Ref: ZNQL] © Kevin Stone
Hint: A little logic is required.
Answer: # Name Wore Deck Colour
1 DJ Skinf Lint 2 red
2 DJ Park'n Ride 3 yellow
3 DJ Slam Dunk 1 green
4 DJ Jam Jar 4 blue