Hint
Try fixing the number of children to see what happens.
Answer
92.
With 149 men and 259 women. The best way is to fix the number of children and play around with the numbers of the men and women to see what happens as these are changed. It soon becomes apparent how changing the children changes the answer and 92 is soon found.
??
Puzzle 6
Below are five phrases that have been altered. Rearrange the words so that when they are read aloud they will sound very similar to the required phrase. For example "Ducks Sits Hound Fa Mill Ear" = "Does it sound familiar".
crows dose my off wind
cab chalk clicks fizz lie lye ox soft
a crowed fall jest lobe Rick oath yell
beef four heap luck Yule
dud rough wharf whorls
Answer
my crows off wind dose = Microsoft Windows
lie fizz lye cab ox soft chalk clicks = Life is like a box of chocolates
jest fall oath a yell lobe Rick crowed = Just follow the yellow brick road
luck beef four Yule heap = Look before you leap
wharf rough dud whorls = War of the Worlds
???
Puzzle 7
The local CD shop operates an unusual discount policy. The discount on the next purchase is worked out on the current purchase in the following way: for every whole pound spent you get 0.5% discount on the next purchase. For example, if you purchased £8.99 on the first purchase, you would then get a 4% discount on the next purchase and so on. You can make as many purchases as necessary.
You need to buy 7 CDs, costing, £11.50, £12.00, £12.00, £12.50, £13.00, £13.00 and £14.50. What is the cheapest method of buying them?
Answer
Purchase 1: £11.50, £12.00, £12.00, £12.50 = £48.00 (which gives a 24% discount on the next purchase). Purchase 2: £13.00, £13.00, £14.50 = £40.50 minus 24% discount = £30.78. For a total cost of £78.78.
?
Puzzle 8
How many squares of any size on this chessboard do not contain a rook?
Reasoning There are 61 squares of size 1 x 1. There are 37 squares of size 2 x 2. There are 15 squares of size 3 x 3. There are 3 squares of size 4 x 4.
