Oranges and lemons

Oranges and lemons

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about different ways to make up an amount.

Question 1Change answer

orangelemon
a)  At the market, oranges cost 50c each, and lemons 20c each. If Mrs Salvio buys at least one orange and one lemon, how many of each could she buy for exactly $4.00?
     [There are three ways she could do it.]
1. 
2. 
3. 
b) What do you notice about the number of oranges she could buy?

Question 1Change answer

orange lemon
c)  At another stall the price of oranges was 60c, and the price of lemons 40c.
     How many of each fruit can she buy at the new stall for exactly $3.00?
     [Write two different ways.]
Oranges:           Lemons: 
Oranges:           Lemons: 
Task administration: 
This task can be completed with pencil and paper or online.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Key Competencies: 
Thinking
Keywords: 
linear equations, money, spending
Description of task: 
Students solve algebraic problems about the cost of oranges and lemons and how many of each fruit is purchased for a given cost.
Curriculum Links: 
This resource can help to identify students' ability to apply inverse operations to simple linear relationships.
Key competencies
This resource involves seeing multiple solutions to a problem, and the patterns in these solutions.
This relates to the Key Competency: Thinking.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y8 (09/1996)
a) i)
ii)
iii)		 2 oranges; 15 lemons
4 oranges; 10 lemons
6 oranges; 5 lemons		 easy
b)   They are always even numbers. [Other variants possible.] moderate
c) i)
ii)		 1 orange; 6 lemons
3 oranges; 3 lemons		 moderate
Next steps: 
Extension
This item ends itself to an extension, covering concepts of divisibility and pre-algebra, with children working in pairs, agreeing on the prices of oranges and lemons, and giving each other different sums of money to spend.