# Taxi Cabs

Pupils plan a trip for a large party using two kinds of taxi cab. They try to decide how many of each cab they need to minimise the overall transport costs.

# Practical details

Suitability
National Curriculum levels 5 to 6
Time
20 to 40 minutes
Resources
Pencil, calculator and paper

# Key Processes involved

Representing
Select a suitable representation (e.g. symbols or a table) to record their analysis
Analysing
Explore the effect of varying the values in the problem, bearing in mind the constraints; calculate costs systematically
Interpreting and evaluating
Consider the assumptions and the context and look for an optimum solution
Communicating and reflecting
Communicate their conclusion and reasoning clearly and effectively

# Teacher guidance

Check that pupils understand the context, with an introduction such as:

• Max and Liz need to get a party of 75 people to the airport.
• Taxis charge either by using a meter or for a fixed price for a journey. The taxis that they will use charge fixed prices for the journey.
• What size taxis are available and how many people can each type hold?
• The aim is to transport 75 people to the airport as cheaply as possible

Pupils can tackle this task in different ways, but they might be expected to:

• solve simple problems involving ratios and direct proportion