Organising the school dance

Organising the school dance

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about writing and solving story problems.

Year 10 are organising a school dance. The DJ says he will charge $110 to set up his equipment and then $90 an hour (h). They have budgeted $470 to pay for the DJ.
 
a) i)
Write an expression or equation that describes the DJ's charges.
 
 
 
  ii)
Work out how long the DJ will play for if Year 10 have $470 to spend.
 
The DJ will play for __________ hours.
 
b)
Each ticket to the dance has a lucky number on it. Charlie multiplies their number by 4 and takes 1 off and gets an answer of 67.
 
  i)
Write an equation for this information. Use n to represent Charlie's lucky number.
 
 
 
  ii) Charlie's lucky number is __________.
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
linear equations, algebraic expressions, number sentences
Description of task: 
Students write and solve linear equations for story problems related to a school dance.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

   

Y10 (10/00)

a)

i)
 
 
 
 
 
 
 
 
ii)

Any 1 of:
 
•   90h + 110
•   c = 90h + 110
or equations such as:
•   90h + 110 = 470
•   90h = 470 - 110
•   h = (470 - 110) ¸ 90
or other equivalent expressions or equations.
4 [Accept solutions consistent with a)i).]

easy
 

 
 
 

 
 
easy

b)

i)
 
 
 
 
 
 
 
 
 
ii)

Any 1 of:
 
•   4n - 1 = 67
•   4n = 67 + 1
•   n = (67 + 1) ¸ 4
•   Other equivalent equations.
Any 1 of:
 
•   4n - 1
•   m = 4n - 1
17 [Accept solutions consistent with b)i).]

moderate
 
 
 
 
 
 
 
 
 
easy