Puzzle 165

At the local BrainBashers Sunday School meeting, the teacher brought in some puppies.
There were 20 more children than puppies.
In the corner of the room, within the ant's nest, the number of ants was 10 times the number of children.
In total, including the teacher, the children, the puppies and the ants, there were 1440 legs in the room.
How many children attended?

[Ref: ZIKX] © Kevin Stone

Hint: Work out the total number of legs.

Answer: 23 children (46 legs).

With 230 ants (1380 legs), 3 puppies (12 legs) and 1 teacher (2 legs).

If we call the number of puppies P, then there were (P + 20) children and 10 x (P + 20) ants, and a single teacher. If we now count the legs, we get:

Puppies : P x 4 = 4P
Children: (P + 20) x 2 = 2P + 40
Ants : 10 x (P + 20) x 6 = 60P + 1200
Teacher : 2 = 2
-----------
66P + 1242

Giving:

66P + 1242 = 1440
66P = 198
P = 3
So there were 3 puppies, hence 23 children. QED.

Puzzle 166

Below are thirteen 5 lettered words, each of which has had two of its letters removed.
In total these 26 letters are A-Z. The remaining letters in each word are in the correct order.
There are no words which are spelled differently based upon location (favour/favor, etc).
Can you determine the original words?

_AI_E
S_UA_
_E_EL
_O_ED
_NA_E
FOG__
C__MP
B__JO
_R_IT
_RE_T
_AV_N
MU__C
MOU__

[Ref: ZEHJ] © Kevin Stone

Hint: The first word begins with the letter M.

Answer: _AI_E >> MAIZE
S_UA_ >> SQUAD
_E_EL >> JEWEL
_O_ED >> FOXED
_NA_E >> KNAVE
FOG__ >> FOGGY
C__MP >> CLUMP
B__JO >> BANJO
_R_IT >> ORBIT
_RE_T >> CREPT
_AV_N >> RAVEN
MU__C >> MUSIC
MOU__ >> MOUTH

Puzzle 167

Remove seven letters from this grid to leave two numbers.

S F E V E
I N L V E
T E T F E
R O S U R

[Ref: ZGGJ] Copyrighted.

Hint: The clue is in the question, do exactly what it says.

Answer:
Simply remove 'SEVEN LETTERS' and you are left with FIVE and FOUR.

- F - - -
I - - V -
- E - F -
- O - U R

Puzzle 168

At the recent BrainBashers downhill mountain bike race, four entrants entered the challenging slalom event.

Alan came first.
The entrant wearing number 2 wore red, whereas John didn't wear yellow.
The loser wore blue and Steve wore number 1.
Kev beat Steve and the person who came second wore number 3.
The entrant in yellow beat the entrant in green.
Only one of the entrants wore the same number as their final position.
Can you determine who finished where, the number and colour they wore?

[Ref: ZNLA] © Kevin Stone

Answer: Pos Name Wore Colour
1 Alan 2 red
2 Kev 3 yellow
3 Steve 1 green
4 John 4 blue