Number NAPX9-TLF-CA34 SA v3

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

702

Question

During a night shift, Dan worked for 4 hours at his normal pay rate, 4 hours at one and a half times his normal pay rate, and another 3 hours at twice his normal pay rate.

Dan was paid $452 for that night shift.

How much is Dan's normal pay rate?

Worked Solution

Total normal hours
= 4 + (4 × 1.5) + (3 × 2)
= 16 hours

∴\therefore Normal pay rate
= 45216\dfrac{452}{16}
= $28.25 per hour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
During a night shift, Dan worked for 4 hours at his normal pay rate, 4 hours at one and a half times his normal pay rate, and another 3 hours at twice his normal pay rate. Dan was paid $452 for that night shift. How much is Dan's normal pay rate?
workedSolution
sm_nogap Total normal hours
>>||| |-|-| ||= 4 + (4 × 1.5) + (3 × 2)| ||= 16 hours|

sm_nogap $\therefore$ Normal pay rate
>>||| |-|-| ||= $\dfrac{452}{16}$| ||= {{{prefix0}}}{{{correctAnswer0}}} per hour.|
correctAnswer0
28.25
prefix0
$
suffix0

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
correctAnswer028.25

$

Variant 1

DifficultyLevel

720

Question

During a music festival, Carly worked for 4 hours at her normal pay rate, 2 hours at one and a half times her normal pay rate, and another 3 hours at twice her normal pay rate.

Carly was paid $357.50 for that shift.

How much is Carly's normal pay rate?

Worked Solution

Total normal hours
= 4 + (2 × 1.5) + (3 × 2)
= 13 hours

∴\therefore Normal pay rate
= 357.5013\dfrac{357.50}{13}
= $27.50 per hour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
During a music festival, Carly worked for 4 hours at her normal pay rate, 2 hours at one and a half times her normal pay rate, and another 3 hours at twice her normal pay rate. Carly was paid $357.50 for that shift. How much is Carly's normal pay rate?
workedSolution
sm_nogap Total normal hours
>>||| |-|-| ||= 4 + (2 × 1.5) + (3 × 2)| ||= 13 hours|

sm_nogap $\therefore$ Normal pay rate
>>||| |-|-| ||= $\dfrac{357.50}{13}$| ||= {{{prefix0}}}{{{correctAnswer0}}} per hour.|
correctAnswer0
27.50
prefix0
$
suffix0

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
correctAnswer027.50

$

Variant 2

DifficultyLevel

717

Question

During her shift at the bowling alley, Ginger worked for 6 hours at her normal pay rate, 4 hours at one and a half times her normal pay rate, and another 2 hours at twice her normal pay rate.

Ginger was paid $476 for that shift.

How much is Ginger's normal pay rate?

Worked Solution

Total normal hours
= 6 + (4 × 1.5) + (2 × 2)
= 16 hours

∴\therefore Normal pay rate
= 47616\dfrac{476}{16}
= $29.75 per hour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
During her shift at the bowling alley, Ginger worked for 6 hours at her normal pay rate, 4 hours at one and a half times her normal pay rate, and another 2 hours at twice her normal pay rate. Ginger was paid $476 for that shift. How much is Ginger's normal pay rate?
workedSolution
sm_nogap Total normal hours
>>||| |-|-| ||= 6 + (4 × 1.5) + (2 × 2)| ||= 16 hours|

sm_nogap $\therefore$ Normal pay rate
>>||| |-|-| ||= $\dfrac{476}{16}$| ||= {{{prefix0}}}{{{correctAnswer0}}} per hour.|
correctAnswer0
29.75
prefix0
$
suffix0

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
correctAnswer029.75

$

Variant 3

DifficultyLevel

709

Question

During a night shift at the hospital, Sarah worked for 7 hours at her normal pay rate, 3 hours at one and a half times her normal pay rate, and another 3 hours at twice her normal pay rate.

Sarah was paid $745.50 for that shift.

How much is Sarah's normal pay rate?

Worked Solution

Total normal hours
= 7 + (3 × 1.5) + (3 × 2)
= 17.5 hours

∴\therefore Normal pay rate
= 745.5017.5\dfrac{745.50}{17.5}
= $42.60 per hour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
During a night shift at the hospital, Sarah worked for 7 hours at her normal pay rate, 3 hours at one and a half times her normal pay rate, and another 3 hours at twice her normal pay rate. Sarah was paid $745.50 for that shift. How much is Sarah's normal pay rate?
workedSolution
sm_nogap Total normal hours
>>||| |-|-| ||= 7 + (3 × 1.5) + (3 × 2)| ||= 17.5 hours|

sm_nogap $\therefore$ Normal pay rate
>>||| |-|-| ||= $\dfrac{745.50}{17.5}$| ||= {{{prefix0}}}{{{correctAnswer0}}} per hour.|
correctAnswer0
42.60
prefix0
$
suffix0

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
correctAnswer042.60

$

Variant 4

DifficultyLevel

707

Question

Fi teaches learn to swim classes. During one shift, she worked for 3 hours at her normal pay rate, 2 hours at one and a half times her normal pay rate, and another 2 hours at twice her normal pay rate.

Fi was paid $289 for that shift.

How much is Fi's normal pay rate?

Worked Solution

Total normal hours
= 3 + (2 × 1.5) + (2 × 2)
= 10 hours

∴\therefore Normal pay rate
= 28910\dfrac{289}{10}
= $28.90 per hour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
Fi teaches learn to swim classes. During one shift, she worked for 3 hours at her normal pay rate, 2 hours at one and a half times her normal pay rate, and another 2 hours at twice her normal pay rate. Fi was paid $289 for that shift. How much is Fi's normal pay rate?
workedSolution
sm_nogap Total normal hours
>>||| |-|-| ||= 3 + (2 × 1.5) + (2 × 2)| ||= 10 hours|

sm_nogap $\therefore$ Normal pay rate
>>||| |-|-| ||= $\dfrac{289}{10}$| ||= {{{prefix0}}}{{{correctAnswer0}}} per hour.|
correctAnswer0
28.90
prefix0
$
suffix0

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
correctAnswer028.90

$

Variant 5

DifficultyLevel

711

Question

John works as a doctor in the emergency department at the hospital. During one shift, he works for 7 hours at his normal pay rate, 4 hours at one and a half times his normal pay rate, and another 3 hours at twice his normal pay rate.

John was paid $4674 for that shift.

How much is John's normal pay rate?

Worked Solution

Total normal hours
= 7 + (4 × 1.5) + (3 × 2)
= 19 hours

∴\therefore Normal pay rate
= 467419\dfrac{4674}{19}
= $246 per hour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
John works as a doctor in the emergency department at the hospital. During one shift, he works for 7 hours at his normal pay rate, 4 hours at one and a half times his normal pay rate, and another 3 hours at twice his normal pay rate. John was paid $4674 for that shift. How much is John's normal pay rate?
workedSolution
sm_nogap Total normal hours
>>||| |-|-| ||= 7 + (4 × 1.5) + (3 × 2)| ||= 19 hours|

sm_nogap $\therefore$ Normal pay rate
>>||| |-|-| ||= $\dfrac{4674}{19}$| ||= {{{prefix0}}}{{{correctAnswer0}}} per hour.|
correctAnswer0
246
prefix0
$
suffix0

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
correctAnswer0246

$

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