Random Puzzles 

Workings

Hint
It doesn't actually matter how many men or women there were.

Answer
17,760 dollars.

If there were M men, then there were (3552 - M) women.

So one ninth of the men each received 45 dollars and one twelve of the women each received 60 dollars. So the total received was:
= 45 x 1 x M  +  60 x  1 x (3552 - M)
       —              ——
       9              12

Simplify the two fractions by dividing the 45 by 9, and the 60 by 12 respectively.

= 5 x M + 5 x (3552 - M)

= 5M + 17760 - 5M

= 17760

Workings

Hint
Think about the number of legs.

Answer
There are 7 chickens, 28 mice and 280 ants.

Reasoning
For every chicken (2 legs) we have 4 mice (16 legs) and 40 ants (240 legs) = 258 legs.

So we can divide the total number of legs by 258, giving 1,806 ÷ 258 = 7 (chickens).

Workings

Hint
There are 16 ounces in a pound, and 144 in a gross.

Answer
Seconds in an hour.

Reasoning
There are 16 x 144 = 2,304 ounces in gross pounds.

There are 60 x 60 = 3,600 seconds in an hour.

Workings

Hint
One of the words is clockwise.

Answers
foo + tpr + int = footprint
som + ewh + ere = somewhere
pin + eap + ple = pineapple
tec + hni + que = technique
ref + ere + nce = reference
pro + fes + sor = professor
bio + gra + phy = biography
clo + ckw + ise = clockwise
bar + ome + ter = barometer