Number, NAPX-p109430v02 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

675

Question

Alejandro makes sangria for his Spanish restaurant.

A glass of sangria has a mass of 240 grams and contains 120 millilitres of sangria.

What is the total mass of the glasses that contain 3.6 litres of sangria?

Worked Solution

1 litre = 1000 mL

3.6 litres = 3600 mL
Number of glasses = 3600120\dfrac{3600}{120}
= 30

Since every glass weighs 240 grams,
Total mass = 30 × 240
= 7200 grams
= 7.2 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Alejandro makes sangria for his Spanish restaurant. A glass of sangria has a mass of 240 grams and contains 120 millilitres of sangria. What is the total mass of the glasses that contain 3.6 litres of sangria?
workedSolution
1 litre = 1000 mL 3.6 litres = 3600 mL
||| |-|-| |Number of glasses|= $\dfrac{3600}{120}$| ||= 30|

sm_nogap Since every glass weighs 240 grams,
||| |-|-| |Total mass|= 30 × 240| ||= 7200 grams| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
7.2
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer07.2

kilograms

Variant 1

DifficultyLevel

685

Question

Fillon produces fresh milk.

A bottle of milk contains 500 millilitres and has a mass of 600 grams.

How many litres of milk has Fillon produced if the bottles have a total mass of 15 kilograms?

Worked Solution

1 kilogram = 1000 grams

15 kilograms = 15 000 grams
Number of bottles = 15000600\dfrac{15 000}{600}
= 25

Since there is 500 mL in each bottle,
Volume = 25 × 500
= 12 500 mL
= 12.5 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Fillon produces fresh milk. A bottle of milk contains 500 millilitres and has a mass of 600 grams. How many litres of milk has Fillon produced if the bottles have a total mass of 15 kilograms?
workedSolution
1 kilogram = 1000 grams 15 kilograms = 15 000 grams
||| |-|-| |Number of bottles|= $\dfrac{15 000}{600}$| ||= 25|

sm_nogap Since there is 500 mL in each bottle,
||| |-|-| |Volume|= 25 × 500| ||= 12 500 mL| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
12.5
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer012.5

litres

Variant 2

DifficultyLevel

693

Question

Ralph makes an energy breakfast juice for his cafe.

One bottle of the juice has a mass of 225 grams and contains 150 millilitres of juice.

What is the total mass of the bottles that contain 6 litres of juice?

Worked Solution

1 litre = 1000 mL

6 litres = 6000 mL
Number of glasses = 6000150\dfrac{6000}{150}
= 40

Since every glass weighs 225 grams,
Total mass = 40 × 225
= 9000 grams
= 9 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ralph makes an energy breakfast juice for his cafe. One bottle of the juice has a mass of 225 grams and contains 150 millilitres of juice. What is the total mass of the bottles that contain 6 litres of juice?
workedSolution
1 litre = 1000 mL 6 litres = 6000 mL
||| |-|-| |Number of glasses|= $\dfrac{6000}{150}$| ||= 40|

sm_nogap Since every glass weighs 225 grams,
||| |-|-| |Total mass|= 40 × 225| ||= 9000 grams| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
9
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer09

kilograms

Variant 3

DifficultyLevel

681

Question

Gill makes avocado juice that he sells to health cafes.

A bottle of avocado juice contains 325 millilitres and has a mass of 450 grams.

How many litres of avocado juice has Gill made if the bottles have a total mass of 36.9 kilograms?

Worked Solution

1 kilogram = 1000 grams

36.9 kilograms = 36 900 grams
Number of bottles = 36 900450\dfrac{36\ 900}{450}
= 82

Since there is 325 mL in each bottle,
Volume = 82 × 325
= 26 650 mL
= 26.65 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Gill makes avocado juice that he sells to health cafes. A bottle of avocado juice contains 325 millilitres and has a mass of 450 grams. How many litres of avocado juice has Gill made if the bottles have a total mass of 36.9 kilograms?
workedSolution
1 kilogram = 1000 grams 36.9 kilograms = 36 900 grams
||| |-|-| |Number of bottles|= $\dfrac{36\ 900}{450}$| ||= 82|

sm_nogap Since there is 325 mL in each bottle,
||| |-|-| |Volume|= 82 × 325| ||= 26 650 mL| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
26.65
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer026.65

litres

Variant 4

DifficultyLevel

684

Question

Jeremiah makes a vegetable soup that he sells in bottles to vegan restaurants.

One bottle has a mass of 675 grams and contains 600 millilitres of vegetable soup.

What is the total mass of the bottles that contain 8.4 litres of vegetable soup?

Worked Solution

1 litre = 1000 mL

8.4 litres = 8400 mL
Number of bottles = 8400600\dfrac{8400}{600}
= 14

Since every bottle weighs 675 grams,
Total mass = 14 × 675
= 9450 grams
= 9.45 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jeremiah makes a vegetable soup that he sells in bottles to vegan restaurants. One bottle has a mass of 675 grams and contains 600 millilitres of vegetable soup. What is the total mass of the bottles that contain 8.4 litres of vegetable soup?
workedSolution
1 litre = 1000 mL 8.4 litres = 8400 mL
||| |-|-| |Number of bottles|= $\dfrac{8400}{600}$| ||= 14|

sm_nogap Since every bottle weighs 675 grams,
||| |-|-| |Total mass|= 14 × 675| ||= 9450 grams| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
9.45
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer09.45

kilograms

Variant 5

DifficultyLevel

660

Question

Luigi makes pasta sauce for his Italian restaurant.

One bottle of pasta sauce has a mass of 250 grams and contains 200 millilitres of pasta sauce.

What is the total mass of the bottles that contain 5 litres of pasta sauce?

Worked Solution

1 litre = 1000 mL

5 litres = 5000 mL
Number of bottles = 5000200\dfrac{5000}{200}
= 25

Since every bottle weighs 250 grams,
Total mass = 25 × 250
= 6250 grams
= 6.25 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Luigi makes pasta sauce for his Italian restaurant. One bottle of pasta sauce has a mass of 250 grams and contains 200 millilitres of pasta sauce. What is the total mass of the bottles that contain 5 litres of pasta sauce?
workedSolution
1 litre = 1000 mL 5 litres = 5000 mL
||| |-|-| |Number of bottles|= $\dfrac{5000}{200}$| ||= 25|

sm_nogap Since every bottle weighs 250 grams,
||| |-|-| |Total mass|= 25 × 250| ||= 6250 grams| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
6.25
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06.25

kilograms

Variant 6

DifficultyLevel

648

Question

Greg produces special oil mix for racing cars that he sells in tins.

One tin of oil contains 500 millilitres of oil and has a mass of 750 grams.

How many litres of oil has Greg produced if the tins have a total mass of 30 kilograms?

Worked Solution

1 kilogram = 1000 grams

30 kilograms = 30 000 grams
Number of bottles = 30 000750\dfrac{30\ 000}{750}
= 40

Since there is 500 mL in each bottle,
Volume = 40 × 500
= 20 000 mL
= 20 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Greg produces special oil mix for racing cars that he sells in tins. One tin of oil contains 500 millilitres of oil and has a mass of 750 grams. How many litres of oil has Greg produced if the tins have a total mass of 30 kilograms?
workedSolution
1 kilogram = 1000 grams 30 kilograms = 30 000 grams
||| |-|-| |Number of bottles|= $\dfrac{30\ 000}{750}$| ||= 40|

sm_nogap Since there is 500 mL in each bottle,
||| |-|-| |Volume|= 40 × 500| ||= 20 000 mL| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
20
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer020

litres

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