Hint
This is quite a tricky puzzle, and knowledge of algebra would certainly help.
Answer
The children tickets were £14, and the adult tickets were £18.
Reasoning
There are a number of methods for solving this problem, including:
Using a spreadsheet.Using a computer program.Using the intersection of lines on a graph.Using an online equation solver.Solving simultaneous equations using algebra.Solving simultaneous equations using inverse matrices.
Here is my solution using simultaneous equations and algebra.
First construct two algebraic equations, where 'c' is the number of children, and 'a' is the number of adults:
Reasoning
A dozen is usually 12, but a baker's dozen is usually 13.
So a dozen (12) baker's dozen (13) = 12 x 13 = 156.
There are 24 hours in a day, and 7 days in a week.
So there are 24 x 7 hours in a week = 168.
??
Puzzle 503
If a farmer buys chicken feed for 57c per tonne, pig feed for $1.52 per tonne and cattle feed for 43c per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
How much of each would he have if they had 100 tonnes for $100?
Hint
The answer involves multiplication (for example, 9 x 8 = 72).
Answer
468.
Reasoning
If we split each line in the following way:
98 68 88
72 48 64
14 32 24
Each new line is generated by multiplying the digits two at a time and writing the result below.
For example, 9 x 8 = 72, so 72 appears directly below 98.
And 7 x 2 = 14, so 14 appears directly below 72.
Double-Checking
9 x 8 = 72 and 7 x 2 = 14.
6 x 8 = 48 and 4 x 8 = 32.
8 x 8 = 64 and 6 x 4 = 24.
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