### Why do this problem :

This problem creates a context where students are challenged to
pick out detail from a large block of text, represent that data and
the relationships between the data as a set of equations, which
need solving and interpreting back into the practical context.

### Possible approach :

This kind of work can be hard and not always rewarding for
individuals not motivated just because it's a puzzle. It may be
that the problem achieves most to develop a problem solving culture
in the classroom if it is approached with plenty of discussion
between students and in the spirit of a group effort. Less
motivated students can still verify and critique the proposals of
others.

Pair students to extract the relevant data and relationships
from the text. Check orally that all the group has all the needed
data and debate items that are not universally agreed upon.

Ask pairs to express these relationships as equations, again
pooling all and discussing elements of contention.

Set students to work looking for a solution, which is then
written up poster-size for display around the room.

Students peruse each others results and presentation of method,
before a whole group discussion of the routes followed and the
comparative efficiency of the methods deployed. Finally, ask
different students to explain how the algebraic results work as a
meaningful solution to the practical problem context.

### Key questions :

- Pick out all the data that you are going to need from this
text.

- Try to get clear about exactly how these values relate to each
other and express those relationships as algebra (equation)

- What does it mean to solve those equations and can you see how
to manage that ?

### Possible extension :

Matchless
is an interesting challenge which pushes students into a deeper
understanding of simultaneous equations.

### Possible support :

The style of approach suggested above should allow a wide
range of ability within a group to function effectively as a
problem-solving culture - where abler students explain more, and
less able students providing verification of results and feedback
on effectiveness of communication.