RAPH12 Q7-8

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

695

Question

Louise collected data on the fruit picked on a certain farm.

The graph below shows the amount of each fruit picked on the farm, in tonnes.



There were 10 more tonnes of oranges picked than bananas.

In total, how many tonnes of fruit were picked?

Worked Solution

Total sections in graph = 16

6 sections →\rightarrow oranges

4 sections →\rightarrow bananas
2 sections = 10 tonnes (given)
1 section = 5 tonnes

Since all sections are equal

Total tonnes picked = 5 ×\times 16 = 80 tonnes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Louise collected data on the fruit picked on a certain farm. The graph below shows the amount of each fruit picked on the farm, in tonnes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH12-Q7.svg 330 indent2 vpad
There were 10 more tonnes of oranges picked than bananas. In total, how many tonnes of fruit were picked?
workedSolution
Total sections in graph = 16 6 sections $\rightarrow$ oranges 4 sections $\rightarrow$ bananas
| | | | -------------: | ---------- | | 2 sections | \= 10 tonnes (given) | | 1 section | \= 5 tonnes |

Since all sections are equal Total tonnes picked = 5 $\times$ 16 = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
80
prefix0
suffix0
tonnes

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
correctAnswer080

tonnes

Variant 1

DifficultyLevel

698

Question

Alexis collected data on the number of vehicles that used a certain road over a 30-minute period.

The graph below shows her results.



There were 40 more cars than motorcycles that used the road during the 30-minute period.

How many vehicles, in total, used the road in the 30-minute period?

Worked Solution

Total sections in graph = 16

5 sections →\rightarrow cars

3 sections →\rightarrow motorcycles
2 sections = 40 vehicles (given)
1 section = 20 vehicles

Since all sections are equal:

Total vehicles = 20 ×\times 16 = 320 vehicles

Question Type

Answer Box

Variables

Variable nameVariable value
question
Alexis collected data on the number of vehicles that used a certain road over a 30-minute period. The graph below shows her results.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH12-Q8.svg 330 indent3 vpad
There were 40 more cars than motorcycles that used the road during the 30-minute period. How many vehicles, in total, used the road in the 30-minute period?
workedSolution
Total sections in graph = 16 5 sections $\rightarrow$ cars 3 sections $\rightarrow$ motorcycles
| | | | -------------: | ---------- | | 2 sections | \= 40 vehicles (given) | | 1 section | \= 20 vehicles |

Since all sections are equal: Total vehicles = 20 $\times$ 16 = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
320
prefix0
suffix0
vehicles

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
correctAnswer0320

vehicles

Variant 2

DifficultyLevel

700

Question

A fast food restaurant collected data on the number of customers using the drive through service during a 4 hour period.

The graph below shows the results.



There were 87 more drive through customers between the hour 11am - 12pm than 2pm - 3 pm.

In total, how many customers used the drive through service during the 4 hour period?

Worked Solution

Total sections in graph = 16

5 sections →\rightarrow 11am - 12pm

2 sections →\rightarrow 2pm - 3 pm
3 sections = 87 customers (given)
1 section = 29 customers

Since all sections are equal

Total customers served = 29 ×\times 16 = 464 customers

Question Type

Answer Box

Variables

Variable nameVariable value
question
A fast food restaurant collected data on the number of customers using the drive through service during a 4 hour period. The graph below shows the results.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_RAPH12-Q7-8_v2.svg 380 indent2 vpad
There were 87 more drive through customers between the hour 11am - 12pm than 2pm - 3 pm. In total, how many customers used the drive through service during the 4 hour period?
workedSolution
Total sections in graph = 16 5 sections $\rightarrow$ 11am - 12pm 2 sections $\rightarrow$ 2pm - 3 pm
| | | | -------------: | ---------- | | 3 sections | \= 87 customers (given) | | 1 section | \= 29 customers|

Since all sections are equal Total customers served = 29 $\times$ 16 = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
464
prefix0
suffix0
customers

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
correctAnswer0464

customers

Variant 3

DifficultyLevel

702

Question

Gilligan collected data on the four most popular preferences of customers when booking accommodation through his online booking service.

The graph below shows the number of people using each type of accommodation.



There were 42 more people who chose a Resort than a Holiday Home.

In total, how many people chose one of the four types of accommodation when booking through Gilligan's booking service?

Worked Solution

Total sections in graph = 16

5 sections →\rightarrow Resort

3 sections →\rightarrow Holiday Home
2 sections = 42 people (given)
1 section = 21 people

Since all sections are equal

Total people = 21 ×\times 16 = 336 people

Question Type

Answer Box

Variables

Variable nameVariable value
question
Gilligan collected data on the four most popular preferences of customers when booking accommodation through his online booking service. The graph below shows the number of people using each type of accommodation.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_RAPH12-Q7-8_v3.svg 400 indent2 vpad
There were 42 more people who chose a Resort than a Holiday Home. In total, how many people chose one of the four types of accommodation when booking through Gilligan's booking service?
workedSolution
Total sections in graph = 16 5 sections $\rightarrow$ Resort 3 sections $\rightarrow$ Holiday Home
| | | | -------------: | ---------- | | 2 sections | \= 42 people (given) | | 1 section | \= 21 people |

Since all sections are equal Total people = 21 $\times$ 16 = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
336
prefix0
suffix0
people

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
correctAnswer0336

people

Variant 4

DifficultyLevel

704

Question

Jonah collected data on the seafood he had delivered to the fish market.

The graph below shows the amount of each seafood delivered, in kilograms.



There were 110 more kilograms of prawns delivered than snapper.

In total, how many kilograms of seafood were delivered?

Worked Solution

Total sections in graph = 16

5 sections →\rightarrow Prawns

3 sections →\rightarrow Snapper
2 sections = 110 kilograms (given)
1 section = 55 kilograms

Since all sections are equal

Total kilograms delivered = 55 ×\times 16 = 880 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jonah collected data on the seafood he had delivered to the fish market. The graph below shows the amount of each seafood delivered, in kilograms.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_RAPH12-Q7-8_v4a.svg 330 indent2 vpad
There were 110 more kilograms of prawns delivered than snapper. In total, how many kilograms of seafood were delivered?
workedSolution
Total sections in graph = 16 5 sections $\rightarrow$ Prawns 3 sections $\rightarrow$ Snapper
| | | | -------------: | ---------- | | 2 sections | \= 110 kilograms (given) | | 1 section | \= 55 kilograms |

Since all sections are equal Total kilograms delivered = 55 $\times$ 16 = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
880
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
correctAnswer0880

kilograms

Variant 5

DifficultyLevel

705

Question

Warwick collected data on the garden supplies sold at his nursery

The graph below shows the amount of each of the garden supplies sold, in kilograms.



There were 1800 more kilograms of potting mix sold than compost.

In total, how many kilograms of garden supplies were sold?

Worked Solution

Total sections in graph = 12

5 sections →\rightarrow potting mix

1 sections →\rightarrow compost
4 sections = 1800 kilograms (given)
1 section = 450 kilograms

Since all sections are equal,

Total kilograms sold = 450 ×\times 12 = 5400

Question Type

Answer Box

Variables

Variable nameVariable value
question
Warwick collected data on the garden supplies sold at his nursery The graph below shows the amount of each of the garden supplies sold, in kilograms.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_RAPH12-Q7-8_v5a.svg 330 indent2 vpad
There were 1800 more kilograms of potting mix sold than compost. In total, how many kilograms of garden supplies were sold?
workedSolution
Total sections in graph = 12 5 sections $\rightarrow$ potting mix 1 sections $\rightarrow$ compost
| | | | -------------: | ---------- | | 4 sections | \= 1800 kilograms (given) | | 1 section | \= 450 kilograms |

Since all sections are equal, Total kilograms sold = 450 $\times$ 12 = {{{correctAnswer0}}}
correctAnswer0
5400
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
correctAnswer05400

kilograms

Tags