20279

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

579

Question

Kate takes part in a swim-a-thon to raise money for charity.

Her grandmother sponsors her $20 in total.

Her uncle sponsors her $1.25 for each lap of the pool she swims.

In order to raise $100, how many laps does Kate need to swim?

Worked Solution

Let  x\large x = number of laps that Kate needs to swim
100 = 1.25x\large x + 20
1.25x\large x = 100 −- 20
∴x\therefore \large x = 801.25\dfrac{80}{1.25}
= 64 laps

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kate takes part in a swim-a-thon to raise money for charity. Her grandmother sponsors her $20 in total. Her uncle sponsors her $1.25 for each lap of the pool she swims. In order to raise $100, how many laps does Kate need to swim?
workedSolution
Let  $\large x$ = number of laps that Kate needs to swim
| | | | ----------------------: | --------------------------- | | 100 | \= 1.25$\large x$ + 20 | | 1.25$\large x$ | \= 100 $-$ 20 | | $\therefore \large x$ | \= $\dfrac{80}{1.25}$ | | | \= {{{correctAnswer}}} laps |
correctAnswer
64

Answers

Is Correct?Answer
x

5

x

10

✓

64

x

80

Variant 1

DifficultyLevel

586

Question

Jennifer takes part in a "Jump Rope for Heart" marathon to raise money for charity.

Her aunty sponsors her $30 in total.

Her sister sponsors her $0.05 for each jump she does.

In order to raise $50, how many jumps does Jennifer need to complete?

Worked Solution

Let  x\large x = number of jumps that Jennifer needs to complete
50 = 0.05x\large x + 30
0.05x\large x = 50 −- 30
∴x\therefore \large x = 200.05\dfrac{20}{0.05}
= 400 jumps

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jennifer takes part in a "Jump Rope for Heart" marathon to raise money for charity. Her aunty sponsors her $30 in total. Her sister sponsors her $0.05 for each jump she does. In order to raise $50, how many jumps does Jennifer need to complete?
workedSolution
Let  $\large x$ = number of jumps that Jennifer needs to complete
| | | | ----------------------: | --------------------------- | | 50 | \= 0.05$\large x$ + 30 | | 0.05$\large x$ | \= 50 $-$ 30 | | $\therefore \large x$ | \= $\dfrac{20}{0.05}$ | | | \= {{{correctAnswer}}} jumps |
correctAnswer
400

Answers

Is Correct?Answer
x

1600

✓

400

x

33

x

20

Variant 2

DifficultyLevel

578

Question

Finn takes part in a read-a-thon to raise money for charity.

His mother sponsors him $60 in total.

His sister sponsors him $4.00 for each book he reads.

In order to raise $100, how many books does Finn need to read?

Worked Solution

Let  x\large x = number of books that Finn needs to read
100 = 4x\large x + 60
4x\large x = 100 −- 60
∴x\therefore \large x = 404\dfrac{40}{4}
= 10 books

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Finn takes part in a read-a-thon to raise money for charity. His mother sponsors him $60 in total. His sister sponsors him $4.00 for each book he reads. In order to raise $100, how many books does Finn need to read?
workedSolution
Let  $\large x$ = number of books that Finn needs to read
| | | | ----------------------: | --------------------------- | | 100 | \= 4$\large x$ + 60 | | 4$\large x$ | \= 100 $-$ 60 | | $\therefore \large x$ | \= $\dfrac{40}{4}$ | | | \= {{{correctAnswer}}} books |
correctAnswer
10

Answers

Is Correct?Answer
✓

10

x

15

x

36

x

40

Variant 3

DifficultyLevel

571

Question

Baby takes part in a dance-a-thon to raise money for charity.

Her father sponsors her $50 in total.

Her aunty sponsors her $5 for each hour she dances.

In order to raise $90, how many hours does Baby need to dance?

Worked Solution

Let  x\large x = number of hours that Baby needs to dance
90 = 5x\large x + 50
5x\large x = 90 −- 50
∴x\therefore \large x = 405\dfrac{40}{5}
= 8 hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Baby takes part in a dance-a-thon to raise money for charity. Her father sponsors her $50 in total. Her aunty sponsors her $5 for each hour she dances. In order to raise $90, how many hours does Baby need to dance?
workedSolution
Let  $\large x$ = number of hours that Baby needs to dance
| | | | ----------------------: | --------------------------- | | 90 | \= 5$\large x$ + 50 | | 5$\large x$ | \= 90 $-$ 50 | | $\therefore \large x$ | \= $\dfrac{40}{5}$ | | | \= {{{correctAnswer}}} hours |
correctAnswer
8

Answers

Is Correct?Answer
x

7

✓

8

x

28

x

40

Variant 4

DifficultyLevel

582

Question

Mitch takes part in a row-a-thon to raise money for charity.

His football team sponsors him $150 in total.

His wife sponsors him $3 for each kilometre he rows.

In order to raise $300, for how many kilometres does Mitch need to row?

Worked Solution

Let  x\large x = number of kilometres that Mitch needs to row
300 = 3x\large x + 150
3x\large x = 300 −- 150
∴x\therefore \large x = 1503\dfrac{150}{3}
= 50 kilometres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mitch takes part in a row-a-thon to raise money for charity. His football team sponsors him $150 in total. His wife sponsors him $3 for each kilometre he rows. In order to raise $300, for how many kilometres does Mitch need to row?
workedSolution
Let  $\large x$ = number of kilometres that Mitch needs to row
| | | | ----------------------: | --------------------------- | | 300 | \= 3$\large x$ + 150 | | 3$\large x$ | \= 300 $-$ 150 | | $\therefore \large x$ | \= $\dfrac{150}{3}$ | | | \= {{{correctAnswer}}} kilometres |
correctAnswer
50

Answers

Is Correct?Answer
x

10

x

15

x

30

✓

50

Variant 5

DifficultyLevel

584

Question

Dunlop takes part in a walk-a-thon to raise money for charity.

His tennis team sponsors him $40 in total.

His sister sponsors him $5 for each kilometre he walks.

In order to raise $150, for how many kilometres does Dunlop need to walk?

Worked Solution

Let  x\large x = number of kilometres that Dunlop needs to walk
150 =5x\large x + 40
5x\large x = 150 −- 40
∴x\therefore \large x = 1105\dfrac{110}{5}
= 22 kilometres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Dunlop takes part in a walk-a-thon to raise money for charity. His tennis team sponsors him $40 in total. His sister sponsors him $5 for each kilometre he walks. In order to raise $150, for how many kilometres does Dunlop need to walk?
workedSolution
Let  $\large x$ = number of kilometres that Dunlop needs to walk
| | | | ----------------------: | --------------------------- | | 150 | \=5$\large x$ + 40 | | 5$\large x$ | \= 150 $-$ 40 | | $\therefore \large x$ | \= $\dfrac{110}{5}$ | | | \= {{{correctAnswer}}} kilometres |
correctAnswer
22

Answers

Is Correct?Answer
x

4

x

11

✓

22

x

38

Tags

  • ms_ca