Algebra, NAPX-I2-36 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

644

Question

A group of 8 friends are planning a trip to Leyland Brothers World.

Lunch will cost $7 per person.

Entry will cost $13 per person.

Hiring a bus for transport will cost $180 for the whole group.

What is the expected total cost of the trip for the whole group?

Worked Solution
Lunch/entry cost = 8 ×\times (7 + 13) = $160
Bus hire = $180

∴\therefore Total Cost = 160 + 180
= $340

Question Type

Answer Box

Variables

Variable nameVariable value
question
A group of 8 friends are planning a trip to Leyland Brothers World. Lunch will cost $7 per person. Entry will cost $13 per person. Hiring a bus for transport will cost $180 for the whole group. What is the expected total cost of the trip for the whole group?
workedSolution
| | | | ---------------- | ----------------------------- | | Lunch/entry cost | \= 8 $\times$ (7 + 13) = $160 | | Bus hire | \= $180 |

| | | | ----------------------- | ------------------------------------ | | $\therefore$ Total Cost | \= 160 + 180 | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
340
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
correctAnswer0340

$

Variant 1

DifficultyLevel

645

Question

A school is organising a science excursion to Crystalview Observatory.

A worksheet pack costs $6 per student.

Entry costs $12 per student.

Hiring a bus costs $150 for the whole school group of 8 students.

What is the total expected cost of the excursion?

Worked Solution
Worksheet/entry cost = 8 ×\times (6 + 12) = $144
Bus hire = $150

∴\therefore Total Cost = 144 + 150
= $294

Question Type

Answer Box

Variables

Variable nameVariable value
question
A school is organising a science excursion to Crystalview Observatory. A worksheet pack costs $6 per student. Entry costs $12 per student. Hiring a bus costs $150 for the whole school group of 8 students. What is the total expected cost of the excursion?
workedSolution
| | | | ----------------------- | ------------------------------- | | Worksheet/entry cost | \= 8 $\times$ (6 + 12) = $144 | | Bus hire | \= $150 |

| | | | ----------------------- | ------------------------------------ | | $\therefore$ Total Cost | \= 144 + 150 | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
294
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
correctAnswer0294

$

Variant 2

DifficultyLevel

646

Question

A community club is running a day program at Harborview Aquatic Centre.

A snack pack costs $5 per participant.

Entry costs $15 per participant.

A coach is hired for $160 for the whole group of 9 participants.

What is the total expected cost for the whole group?

Worked Solution
Snack/entry cost = 9 ×\times (5 + 15) = $180
Coach hire = $160

∴\therefore Total Cost = 180 + 160
= $340

Question Type

Answer Box

Variables

Variable nameVariable value
question
A community club is running a day program at Harborview Aquatic Centre. A snack pack costs $5 per participant. Entry costs $15 per participant. A coach is hired for $160 for the whole group of 9 participants. What is the total expected cost for the whole group?
workedSolution
| | | | ----------------------- | ------------------------------- | | Snack/entry cost | \= 9 $\times$ (5 + 15) = $180 | | Coach hire | \= $160 |

| | | | ----------------------- | ------------------------------------ | | $\therefore$ Total Cost | \= 180 + 160 | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
340
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
correctAnswer0340

$

Variant 3

DifficultyLevel

647

Question

A sporting team is travelling to compete at Ridgeline Sports Complex.

A meal costs $9 per player.

An entry fee costs $11 per player.

A minibus is hired for $175 for the whole team of 10 players.

What is the total expected cost for the whole team?

Worked Solution
Meal/entry cost = 10 ×\times (9 + 11) = $200
Minibus hire = $175

∴\therefore Total Cost = 200 + 175
= $375

Question Type

Answer Box

Variables

Variable nameVariable value
question
A sporting team is travelling to compete at Ridgeline Sports Complex. A meal costs $9 per player. An entry fee costs $11 per player. A minibus is hired for $175 for the whole team of 10 players. What is the total expected cost for the whole team?
workedSolution
| | | | ----------------------- | -------------------------------- | | Meal/entry cost | \= 10 $\times$ (9 + 11) = $200 | | Minibus hire | \= $175 |

| | | | ----------------------- | ------------------------------------ | | $\therefore$ Total Cost | \= 200 + 175 | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
375
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
correctAnswer0375

$

Variant 4

DifficultyLevel

648

Question

A family reunion is being held at Ferndale Heritage Park.

A lunch pack costs $8 per person.

Entry costs $14 per person.

A bus is hired for $200 for the whole family group of 11 people.

What is the total expected cost for the whole group?

Worked Solution
Lunch/entry cost = 11 ×\times (8 + 14) = $242
Bus hire = $200

∴\therefore Total Cost = 242 + 200
= $442

Question Type

Answer Box

Variables

Variable nameVariable value
question
A family reunion is being held at Ferndale Heritage Park. A lunch pack costs $8 per person. Entry costs $14 per person. A bus is hired for $200 for the whole family group of 11 people. What is the total expected cost for the whole group?
workedSolution
| | | | ----------------------- | -------------------------------- | | Lunch/entry cost | \= 11 $\times$ (8 + 14) = $242 | | Bus hire | \= $200 |

| | | | ----------------------- | ------------------------------------ | | $\therefore$ Total Cost | \= 242 + 200 | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
442
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
correctAnswer0442

$

Variant 5

DifficultyLevel

649

Question

A youth group is attending a workshop at Sandstone Learning Centre.

A materials kit costs $7 per person.

Entry costs $13 per person.

A coach is hired for $220 for the whole group of 12 people.

What is the total expected cost for the whole group?

Worked Solution
Materials/entry cost = 12 ×\times (7 + 13) = $240
Coach hire = $220

∴\therefore Total Cost = 240 + 220
= $460

Question Type

Answer Box

Variables

Variable nameVariable value
question
A youth group is attending a workshop at Sandstone Learning Centre. A materials kit costs $7 per person. Entry costs $13 per person. A coach is hired for $220 for the whole group of 12 people. What is the total expected cost for the whole group?
workedSolution
| | | | ----------------------- | -------------------------------- | | Materials/entry cost | \= 12 $\times$ (7 + 13) = $240 | | Coach hire | \= $220 |

| | | | ----------------------- | ------------------------------------ | | $\therefore$ Total Cost | \= 240 + 220 | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
460
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
correctAnswer0460

$

Tags

  • nap_nc