Q5 (Calculating wages using algebraic equations)

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TEAME CIT

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8 years, 9 months ago

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TEAME CIT 8 years, 9 months ago

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TEAME CIT 8 years, 9 months ago

Gave some feedback: Ready to use

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TEAME CIT 9 years, 4 months ago

Created this as a copy of Q4 & 5 & 13 (Calculating wages using algebraic equations).

Name	Status	Author	Last Modified
Q5 (Calculating wages using algebraic equations)	Ready to use	TEAME CIT	06/10/2016 16:14
Simon's copy of Q5 (Calculating wages using algebraic equations)	draft	Simon Thomas	25/03/2019 09:52

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Question statement

Calculate the following, to the nearest cent!!

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	integer	8
num12	integer	6
wages1	integer	8968
num13	integer	83
ans11	rational	4733/7
ans12	rational	4152/7
ans21	integer	9
ans22	integer	8
num21	integer	17
num22	integer	590
num23	integer	800
wages2	integer	11710
num31	integer	7
num32	integer	10
wages3	integer	7245
num33	integer	84
ans31	rational	8085/17
ans32	rational	6657/17
num41	integer	6
num42	integer	9
wages41	integer	10377
num43	integer	4
wages42	integer	2435
ans41	rational	1411/5
ans42	rational	6531/5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(7..9)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `integer`

→ Used by:

ans12
num12
num31
num32

Advice
"Part b)" - prompt

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
1. Step Information only
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part c) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part d) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\var{num41}$ tradesmen and $\var{num42}$ labourers earn $€\var{wages41}$ per week while 1 tradesman and $\var{num43}$ labourers earn $€\var{wages42}$ per week. Find the earnings for 1 tradesman and 1 labourer.

Tradesmen: €Gap 0.

Labourer: €Gap 1.

Advice

Have a look at this youtube video to understand simultaneous equations better: Simultaneous Equations

Part 1:

Tradesman:

Find the Labourer's wage first, then:

$\var{ans12} + \var{num13} = €\var{ans11}$

Labourer:

$\frac{\var{wages1} - (\var{num11} \times \var{num13})}{(\var{num11} + \var{num12})} = €\var{ans12}$

Part 2:

First identify the 2 simultaneous equations;

L + T = $\var{num21}$

$\var{num22}$ L + $\var{num23}T$ = $\var{wages2}$

No. of Labourers:

Find the no. of Tradesmen first, then:

$\var{num21} - \var{ans22} = \var{ans21}$

No. of Tradesmen:

$\frac{((\var{wages2} \times 1) - (\var{num22} \times \var{num21}))}{((\var{num23} \times 1) - (\var{num22} \times 1))} = \var{ans22}$

Part 3:

Tradesman:

Find the Labourer's wage first, then:

$\var{ans32} + \var{num33} = €\var{ans31}$

Labourer:

$\frac{\var{wages3} - (\var{num31} \times \var{num33})}{(\var{num31} + \var{num32})} = €\var{ans32}$

Part 4:

Tradesman:

Find the Labourer's wage first, then:

$\var{wages42} - (\var{num43} \times \var{num41}) = €\var{ans41}$

Labourer:

$\frac{\var{wages41} - (\var{num41} \times \var{wages42})}{(\var{num42} - (\var{num41} \times \var{num43}))} = €\var{ans42}$

Give a worked solution to the whole question.

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Q5 (Calculating wages using algebraic equations)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 4 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Q5 (Calculating wages using algebraic equations)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`