50133

Question

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Worked Solution

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Variant 0

DifficultyLevel

576

Question

Aaron went on holiday and spent his money on accommodation, golf and meals.

He spent $1500 in total and the pie chart below shows how he spent it.

How much money did Aaron spend on meals on his holiday?

Worked Solution

Percentage spent on accommodation
= 6751500×100\dfrac{675}{1500} \times 100
= 45%

⇒\Rightarrow Percentage on meals = 100 − (40 + 45) = 15%

∴\therefore Amount spent on meals
= 15% × 1500
= $225

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Aaron went on holiday and spent his money on accommodation, golf and meals. He spent \$1500 in total and the pie chart below shows how he spent it. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_50133_v0b.svg 320 indent vpad How much money did Aaron spend on meals on his holiday?
workedSolution
sm_nogap Percentage spent on accommodation
>>| | | ----------------------- | |= $\dfrac{675}{1500} \times 100$| |= 45% |

$\Rightarrow$ Percentage on meals = 100 − (40 + 45) = 15%
$\therefore$ Amount spent on meals
>>| | | ----------------------- | |= 15% × 1500| |= {{{correctAnswer}}} |
correctAnswer
\$225

Answers

Is Correct?Answer
✓

$225

x

$375

x

$425

x

$600

Variant 1

DifficultyLevel

587

Question

Ian is budgeting for his next holiday and is allocating money to accommodation, airfares and day trips.

He is planning to spend $4500 in total and the pie chart below shows how he is allocating his money.

How much money did Ian allocate for airfares in his holiday budget?

Worked Solution

Percentage spent on accommodation
= 13054500×100\dfrac{1305}{4500} \times 100
= 29%

⇒\Rightarrow Percentage on Airfares = 100 − (15 + 29) = 56%

∴\therefore Amount spent on airfares
= 56% × 4500
= $2520

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ian is budgeting for his next holiday and is allocating money to accommodation, airfares and day trips. He is planning to spend \$4500 in total and the pie chart below shows how he is allocating his money. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_50133_v1b.svg 320 indent vpad How much money did Ian allocate for airfares in his holiday budget?
workedSolution
sm_nogap Percentage spent on accommodation
>>| | | ----------------------- | |= $\dfrac{1305}{4500} \times 100$| |= 29% |

$\Rightarrow$ Percentage on Airfares = 100 − (15 + 29) = 56%
$\therefore$ Amount spent on airfares
>>| | | ----------------------- | |= 56% × 4500| |= {{{correctAnswer}}} |
correctAnswer
\$2520

Answers

Is Correct?Answer
x

$1320

✓

$2520

x

$3180

x

$3195

Variant 2

DifficultyLevel

581

Question

Burke is measuring the amount, in kilograms, of each vegetable he has harvested from his garden this winter. His garden harvest is made up of carrots, zucchinis and pumpkins.

He harvested 400 kilograms in total and the pie chart below shows the amount of each vegetable he harvested.

How many kilograms of carrots did Burke harvest this winter?

Worked Solution

Percentage of zucchinis harvested
= 112400×100\dfrac{112}{400} \times 100
= 28%

⇒\Rightarrow Percentage of Carrots = 100 − (40 + 28) = 32%

∴\therefore Kilograms of carrots harvested
= 32% × 400
= 128 kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Burke is measuring the amount, in kilograms, of each vegetable he has harvested from his garden this winter. His garden harvest is made up of carrots, zucchinis and pumpkins. He harvested 400 kilograms in total and the pie chart below shows the amount of each vegetable he harvested. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_50133_v2b1.svg 280 indent vpad How many kilograms of carrots did Burke harvest this winter?
workedSolution
sm_nogap Percentage of zucchinis harvested
>>| | | ----------------------- | |= $\dfrac{112}{400} \times 100$| |= 28% |

$\Rightarrow$ Percentage of Carrots = 100 − (40 + 28) = 32%
$\therefore$ Kilograms of carrots harvested
>>| | | ----------------------- | |= 32% × 400| |= {{{correctAnswer}}} |
correctAnswer
128 kilograms

Answers

Is Correct?Answer
✓

128 kilograms

x

152 kilograms

x

248 kilograms

x

272 kilograms

Variant 3

DifficultyLevel

579

Question

Karen has allocated year 9 students to either tennis, soccer or ultimate frisbee for their term 3 sport.

There are 225 year 9 students in total and the pie chart below shows how the sports were allocated.


How many students were allocated ultimate frisbee as their term 3 sport?

Worked Solution

Percentage allocated to tennis
= 54225×100\dfrac{54}{225} \times 100
= 24%

⇒\Rightarrow Percentage allocated to ultimate frisbee = 100 − (24 + 8) = 68%

∴\therefore Students allocated to ultimate frisbee
= 68% × 225
= 153

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Karen has allocated year 9 students to either tennis, soccer or ultimate frisbee for their term 3 sport. There are 225 year 9 students in total and the pie chart below shows how the sports were allocated.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_50133_v3b.svg 310 indent vpad How many students were allocated ultimate frisbee as their term 3 sport?
workedSolution
sm_nogap Percentage allocated to tennis
>>| | | ----------------------- | |= $\dfrac{54}{225} \times 100$| |= 24% |

$\Rightarrow$ Percentage allocated to ultimate frisbee = 100 − (24 + 8) = 68%
$\therefore$ Students allocated to ultimate frisbee
>>| | | ----------------------- | |= 68% × 225| |= {{{correctAnswer}}} |
correctAnswer
153

Answers

Is Correct?Answer
x

62

x

139

✓

153

x

163

Variant 4

DifficultyLevel

580

Question

Joy set up a cardio gym in her garage and purchased a treadmill, a rowing machine and a spin bike.

She spent $6000 in total and the pie chart below shows how she spent it.


How much money did Joy spend on the spin bike?

Worked Solution

Percentage spent on the treadmill
= 24606000×100\dfrac{2460}{6000} \times 100
= 41%

⇒\Rightarrow Percentage on spin bike = 100 − (41 + 28) = 31%

∴\therefore Amount spent on spin bike
= 31% × 6000
= $1860

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Joy set up a cardio gym in her garage and purchased a treadmill, a rowing machine and a spin bike. She spent \$6000 in total and the pie chart below shows how she spent it. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_50133_v4b.svg 310 indent vpad
How much money did Joy spend on the spin bike?
workedSolution
sm_nogap Percentage spent on the treadmill
>>| | | ----------------------- | |= $\dfrac{2460}{6000} \times 100$| |= 41% |

$\Rightarrow$ Percentage on spin bike = 100 − (41 + 28) = 31%
$\therefore$ Amount spent on spin bike
>>| | | ----------------------- | |= 31% × 6000| |= {{{correctAnswer}}} |
correctAnswer
\$1860

Answers

Is Correct?Answer
x

$4140

x

$3540

x

$2000

✓

$1860

Variant 5

DifficultyLevel

573

Question

Jye was checking his phone battery usage and found he spent his time listening to music, using social media and viewing YouTube videos.

Last week he spent 25 hours in total using his phone and the pie chart below shows the breakdown of his usage.


How much time did Jye spend on social media?

Worked Solution

Percentage of usage watching YouTube videos
= 825×100\dfrac{8}{25} \times 100
= 32%

⇒\Rightarrow Percentage of usage on social media = 100 − (48 + 32) = 20%

∴\therefore Amount of usage on social media
= 20% × 25
= 5 hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jye was checking his phone battery usage and found he spent his time listening to music, using social media and viewing YouTube videos. Last week he spent 25 hours in total using his phone and the pie chart below shows the breakdown of his usage.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_50133_v5b.svg 300 indent vpad How much time did Jye spend on social media?
workedSolution
sm_nogap Percentage of usage watching YouTube videos
>>| | | ----------------------- | |= $\dfrac{8}{25} \times 100$| |= 32% |

$\Rightarrow$ Percentage of usage on social media = 100 − (48 + 32) = 20%
$\therefore$ Amount of usage on social media
>>| | | ----------------------- | |= 20% × 25| |= {{{correctAnswer}}} |
correctAnswer
5 hours

Answers

Is Correct?Answer
x

2.5 hours

✓

5 hours

x

17 hours

x

20 hours

Tags

  • ms_ca