NC NA Fraction addition - sausage sizzle leftovers (9)

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Question statement

Northam High School held a sausage sizzle at their athletics carnival.

Three Year 11 students, {name1}, {name2} and {name3} volunteered to cook the sausages.

{name1} cooked {frac1name} of the sausages, and {name2} cooked {frac2name} of the sausages.

Give any introductory information the student needs.

			Name	Type	Generated Value

			Name	Type	Generated Value

name1	string	Jake
name2	string	Liz
name3	string	Yuhan
frac1options	list	List of 3 items
frac1	dict	Dictionary with 3 entries
frac1name	string	one quarter
frac1num	number	1
frac1denom	number	4
frac2options	list	List of 3 items
frac2	dict	Dictionary with 3 entries
frac2name	string	one fifth
frac2num	number	1
frac2denom	number	5
decimalnotcooked	number	0.55
fractionnotcooked	list	[ 11, 20 ]
answernumerator	integer	11
answerdenominator	integer	20

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random("Sue","Edwin","Matt","Jake","Madi","Julia")

JME function reference

Description

A randomly selected name from the list for the first person.

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

Can an exam override the value of this variable?

Generated value: `string`

Jake

→ Used by:

Statement

Advice

{name1} cooked {frac1name} of the sausages, and {name2} cooked {frac2name} of the sausages.

We need to add these fractions.

$\frac{\var{frac1num}}{\var{frac1denom}} + \frac{\var{frac2num}}{\var{frac2denom}}$

= $\frac{\var{frac1num*frac2denom}}{\var{frac1denom*frac2denom}} + \frac{\var{frac2num*frac1denom}}{\var{frac2denom*frac1denom}}$

= $\frac{\var{frac1num*frac2denom+frac2num*frac1denom}}{\var{frac1denom*frac2denom}}$

Then we subtract this answer from one whole to find the fraction of sausages remaining for {name3} to cook.

1 - $\frac{\var{frac1num*frac2denom+frac2num*frac1denom}}{\var{frac1denom*frac2denom}}$

= $\frac {\var{frac1denom*frac2denom-(frac1num*frac2denom+frac2num*frac1denom)}}{\var{frac1denom*frac2denom}}$

This fraction cannot be simplified.

So {name3} cooked the remaining $\frac {\var{answernumerator}} {\var{answerdenominator}}$ of the sausages.

This fraction needs to be simplified. Divide both numerator and denominator by {gcd(frac1denom*frac2denom-(frac1num*frac2denom+frac2num*frac1denom),frac1denom*frac2denom)}.

$\frac {\var {frac1denom*frac2denom-(frac1num*frac2denom+frac2num*frac1denom)}}{\var{frac1denom*frac2denom}}$ = $\frac {\var{answernumerator}} {\var{answerdenominator}}$

So {name3} cooked the remaining $\frac {\var{answernumerator}} {\var{answerdenominator}}$ of the sausages.

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NC NA Fraction addition - sausage sizzle leftovers (9)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Adelle Colbourn 4 years, 5 months ago

Adelle Colbourn 4 years, 11 months ago

Adelle Colbourn 5 years, 1 month ago

Error in variable testing condition

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Generated value: `string`

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Number entry

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Error

NC NA Fraction addition - sausage sizzle leftovers (9)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Adelle Colbourn 4 years, 5 months ago

Adelle Colbourn 4 years, 11 months ago

Adelle Colbourn 5 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Number entry

Advanced settings

Generated value: `string`