Simple ratios

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Lois Rollings

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Lois Rollings 8 years, 7 months ago

Published this.

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Lois Rollings 8 years, 7 months ago

Created this as a copy of Bill's copy of Simple ratios.

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Question statement

Solve the following ratio problem.

Give any introductory information the student needs.

			Name	Type	Generated Value

this	string	$X$
whichone	integer	2
u	integer	0
t	integer	7
y	integer	5
x	integer	2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
if(u=0,'$X$',"$Y$")

JME function reference

Description

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`

$X$

← Depends on:

→ Used by:

"Unnamed part" - prompt

Parts

Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

A cake recipe includes two secret ingredients $X$ and $Y$ . These must be added so that the ratio $X:Y$ is $\var{x}:\var{y}$ .

The combined weight of the two secret ingredients is $\simplify{{t}*({x}+{y})}$ g.

How much of ingredient {this} should be added?

Unnamed gapg

Advice

The ratio of ingredients $X$ and $Y$ is $\var{x}: \var{y}$ .

This means that for every $\var{x}$ g of $X$ , we need $\var{y}$ g of $Y$ . You could imagine organising your ingredients so that you put ingredient $X$ into small bags containing $\var{x}$ g and ingredient $Y$ into small bags containing $\var{y}$ g.

For each 'batch' of cake mixture you will need one bag of each of the secret ingredients, which will weigh a total of $\simplify { {x} + {y} }$ g in total.

For a total of $\simplify{{t} *({x}+{y})}$ g of secret ingredients we will need $\var{t}$ batches.

This means we will need $\var{t} \times \var{whichone}=\var{t*whichone}$ g of ingredient {this}.

Give a worked solution to the whole question.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Numeracy Questions without a calculator by Lois Rollings in Numeracy Questions.
Ratios by Rachel Staddon in Rachel's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `string`

Parts

Gap-fill

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Simple ratios

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`