20332

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

659

Question

The cost of hiring a stand-up paddle board for d\large d days is

Hire cost = 25 + 12.5d\large d


If Mick has $250 to spend, what is the maximum number of days he can hire the board for?

Worked Solution
25+12.5d25 + 12.5\large d = 250
12.5d12.5\large d = 250 −- 25
∴d\therefore \large d = 22512.5\dfrac{225}{12.5}
= 18

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The cost of hiring a stand-up paddle board for $\large d$ days is > Hire cost = 25 + 12.5$\large d$
If Mick has \$250 to spend, what is the maximum number of days he can hire the board for?
workedSolution
| | | | ----------------------: | ------------------------ | | $25 + 12.5\large d$ | \= 250 | | $12.5\large d$ | \= 250 $-$ 25 | | $\therefore \large d$ | \= $\dfrac{225}{12.5}$ | | | \= {{{correctAnswer}}} |
correctAnswer
18

Answers

Is Correct?Answer
x

20

✓

18

x

16

x

10

Variant 1

DifficultyLevel

667

Question

The cost of hiring an electric bicycle for h\large h hours is

Hire cost = 40 + 30.25h\large h


If Boris has $282 to spend, what is the maximum number of hours he can hire the electric bicycle for?

Worked Solution
40+30.25h40 + 30.25\large h = 282
30.25h30.25\large h = 282 −- 40
∴h\therefore \large h = 24230.25\dfrac{242}{30.25}
= 8

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The cost of hiring an electric bicycle for $\large h$ hours is > Hire cost = 40 + 30.25$\large h$
If Boris has \$282 to spend, what is the maximum number of hours he can hire the electric bicycle for?
workedSolution
| | | | ----------------------: | ------------------------ | | $40 + 30.25\large h$ | \= 282 | | $30.25\large h$ | \= 282 $-$ 40 | | $\therefore \large h$ | \= $\dfrac{242}{30.25}$ | | | \= {{{correctAnswer}}} |
correctAnswer
8

Answers

Is Correct?Answer
x

4

✓

8

x

9

x

10

Variant 2

DifficultyLevel

654

Question

The cost of hiring a box trailer for d\large d days is

Hire cost = 100 + 48d\large d


If Jace has $340 to spend, what is the maximum number of days he can hire the box trailer for?

Worked Solution
100+48d100 + 48\large d = 340
48d48\large d = 340 −- 100
∴d\therefore \large d = 24048\dfrac{240}{48}
= 5

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The cost of hiring a box trailer for $\large d$ days is > Hire cost = 100 + 48$\large d$
If Jace has \$340 to spend, what is the maximum number of days he can hire the box trailer for?
workedSolution
| | | | ----------------------: | ------------------------ | | $100 + 48\large d$ | \= 340 | | $48\large d$ | \= 340 $-$ 100 | | $\therefore \large d$ | \= $\dfrac{240}{48}$ | | | \= {{{correctAnswer}}} |
correctAnswer
5

Answers

Is Correct?Answer
✓

5

x

7

x

9

x

12

Variant 3

DifficultyLevel

662

Question

The cost of hiring a steam cleaner for h\large h hours is

Hire cost = 60 + 15.8h\large h


If Bronnie has $139 to spend, what is the maximum number of hours she can hire the steam cleaner for?

Worked Solution
60+15.8h60 + 15.8\large h = 139
15.8h15.8\large h = 139 −- 60
∴h\therefore \large h = 7915.8\dfrac{79}{15.8}
= 5

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The cost of hiring a steam cleaner for $\large h$ hours is > Hire cost = 60 + 15.8$\large h$
If Bronnie has \$139 to spend, what is the maximum number of hours she can hire the steam cleaner for?
workedSolution
| | | | ----------------------: | ------------------------ | | $60 + 15.8\large h$ | \= 139 | | $15.8\large h$ | \= 139 $-$ 60 | | $\therefore \large h$ | \= $\dfrac{79}{15.8}$ | | | \= {{{correctAnswer}}} |
correctAnswer
5

Answers

Is Correct?Answer
x

2

x

3

x

4

✓

5

Variant 4

DifficultyLevel

650

Question

The cost of hiring a truck for d\large d days is

Hire cost = 100 + 320d\large d


If Ferris has $3940 to spend, what is the maximum number of days he can hire the truck for?

Worked Solution
100+320d100 + 320\large d = 3940
320d320\large d = 3940 −- 100
∴d\therefore \large d = 3840320\dfrac{3840}{320}
= 12

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The cost of hiring a truck for $\large d$ days is > Hire cost = 100 + 320$\large d$
If Ferris has \$3940 to spend, what is the maximum number of days he can hire the truck for?
workedSolution
| | | | ----------------------: | ------------------------ | | $100 + 320\large d$ | \= 3940 | | $320\large d$ | \= 3940 $-$ 100 | | $\therefore \large d$ | \= $\dfrac{3840}{320}$ | | | \= {{{correctAnswer}}} |
correctAnswer
12

Answers

Is Correct?Answer
✓

12

x

9

x

6

x

4

Variant 5

DifficultyLevel

650

Question

The cost of hiring a wedding venue for h\large h hours is

Hire cost = 700 + 120d\large d


If Romeo has $2140 to spend, what is the maximum number of hours he can hire the wedding venue for?

Worked Solution
700+120h700 + 120\large h = 2140
120h120\large h = 2140 −- 700
∴h\therefore \large h = 1440120\dfrac{1440}{120}
= 12 hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The cost of hiring a wedding venue for $\large h$ hours is > Hire cost = 700 + 120$\large d$
If Romeo has \$2140 to spend, what is the maximum number of hours he can hire the wedding venue for?
workedSolution
| | | | ----------------------: | ------------------------ | | $700 + 120\large h$ | \= 2140 | | $120\large h$ | \= 2140 $-$ 700 | | $\therefore \large h$ | \= $\dfrac{1440}{120}$ | | | \= {{{correctAnswer}}} hours |
correctAnswer
12

Answers

Is Correct?Answer
✓

12

x

18

x

21

x

23

Tags

  • ms_ca