Q6 (Calculating cars/carparts using equations)

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TEAME CIT

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TEAME CIT 8 years, 9 months ago

Published this.

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TEAME CIT 9 years, 4 months ago

Created this as a copy of Q9 & 17 & 21 (Calculating cars/carparts using algebraic equations).

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Question statement

Solve the following:

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	integer	5
num12	integer	10
num13	integer	14
num14	integer	7
num15	integer	11
num16	integer	13
cost11	number	1182.5
ans11	number	55.5
ans12	number	90.5
cost12	number	1410.5
ans13	number	1787
num21	integer	6
num22	integer	3
num23	integer	5
num24	integer	8
num25	integer	10
num26	integer	7
cost21	integer	131400
cost22	integer	178800
ans21	integer	15600
ans22	integer	12600
ans23	integer	244200
num31	integer	7
num32	integer	3
num33	integer	5
num34	integer	4
cost31	integer	208200
cost32	integer	197000
ans31	integer	18600
ans32	integer	26000

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..14)

JME function reference

Description

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

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Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
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Part b) Gap-fill
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Part c) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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Gap-fill

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

$\var{num31}$ cars of model A and $\var{num32}$ cars of model B cost $€\var{cost31}$ , while $\var{num33}$ cars of model A and $\var{num34}$ cars of model B cost $€\var{cost32}$ . What is the cost of each model?

Round to the nearest euro.

Model A: €Gap 0.

Model B: €Gap 1.

Advice

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

Part 1:

To find cost of Brand A:

$\frac{((\var{num12} \times \var{cost12}) - (\var{num14} \times \var{cost11}))}{((\var{num13} \times \var{num12}) - (\var{num11} \times \var{num14}))} = €\var{ans11}$

To find cost of Brand B:

$\frac{(\var{cost12} - (\var{num13} \times \var{ans11}))}{\var{num14}} = €\var{ans12}$

To find total cost of $\var{num15}$ Brand A tyres and $\var{num16}$ Brand B tyres:

$(\var{num15} \times \var{ans11}) + (\var{num16} \times \var{ans12}) = €\var{ans13}$

Part 2:

To find cost of a new Car:

$\frac{((\var{num22} \times \var{cost22}) - (\var{num24} \times \var{cost21}))}{((\var{num23} \times \var{num22}) - (\var{num21} \times \var{num24}))} = €\var{ans21}$

To find cost of a new Van:

$\frac{(\var{cost22} - (\var{num23} \times \var{ans21}))}{\var{num24}} = €\var{ans22}$

To find total cost of $\var{num25}$ new Cars and $\var{num26}$ new Vans:

$(\var{num25} \times \var{ans21}) + (\var{num26} \times \var{ans22}) = €\var{ans23}$

Part 3:

To find cost of a Model A Car:

$\frac{((\var{num32} \times \var{cost32}) - (\var{num34} \times \var{cost31}))}{((\var{num33} \times \var{num32}) - (\var{num31} \times \var{num34}))} = €\var{ans31}$

To find cost of a Model B Car:

$\frac{(\var{cost32} - (\var{num33} \times \var{ans31}))}{\var{num34}} = €\var{ans32}$

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Q6 (Calculating cars/carparts using equations)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

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

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Error

Q6 (Calculating cars/carparts using equations)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

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`