Number, NAPX-G3-CA15

Question

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Worked Solution

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Variant 0

DifficultyLevel

577

Question

Crisco takes part in a walkathon to raise money for charity.

His grandmother sponsors him $30.

His sister sponsors him $1.50 for each kilometre he walks.

In order to raise a total of $120, how many kilometres does Crisco need to walk?

Worked Solution

Solution 1

Test each answer option:

60 laps ×\times $1.50 = $90

90 + 30 = $120 ✓\$120\ \checkmark


Strategy 2 (advanced)

Let  x\ \large x = number of kilometres Crisco walks
120 = 1.5x\large x + 30
1.5x\large x = 90
∴x\therefore \large x = 901.5\dfrac{90}{1.5}
= 60 laps

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Crisco takes part in a walkathon to raise money for charity. His grandmother sponsors him $30. His sister sponsors him $1.50 for each kilometre he walks. In order to raise a total of $120, how many kilometres does Crisco need to walk?
workedSolution
Solution 1 Test each answer option: 60 laps $\times$ $1.50 = $90 90 + 30 = $\$120\ \checkmark$
Strategy 2 (advanced) sm_nogap Let $\ \large x$ = number of kilometres Crisco walks
||| |-:|-| |120|= 1.5$\large x$ + 30| |1.5$\large x$|= 90| |$\therefore \large x$|= $\dfrac{90}{1.5}$| ||= {{{correctAnswer}}} laps|
correctAnswer
60

Answers

Is Correct?Answer
x

20

x

40

✓

60

x

80

x

90

Variant 1

DifficultyLevel

573

Question

Daxx participates in a walkathon at the local cross country track.

His grandfather donates $30.

His neighbor donates $15 for each kilometre that Daxx walks.

How many kilometers does Daxx need to walk to raise $150 in total?

Worked Solution

Strategy 1

1 km = 30 + 15 = $45

2 km = 45 + 15 = $60

3 km = 60 + 15 = $75

⋮

8 km = 135 + 15 = $150 ✓\$150\ \checkmark


Strategy 2 (more advanced)


Let  n\ \large n = number of kilometers walked.

Total money raised = 30 + 15 × n\large n
30 + 15n\large n = 150
15n\large n = 120
∴n\therefore \large n = 8

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Daxx participates in a walkathon at the local cross country track. His grandfather donates $30. His neighbor donates $15 for each kilometre that Daxx walks. How many kilometers does Daxx need to walk to raise $150 in total?
workedSolution
Strategy 1 1 km = 30 + 15 = $45 2 km = 45 + 15 = $60 3 km = 60 + 15 = $75 sm_nogap >⋮ 8 km = 135 + 15 = $\$150\ \checkmark$
Strategy 2 (more advanced)
Let $\ \large n$ = number of kilometers walked. sm_nogap Total money raised = 30 + 15 × $\large n$
| | | | --------------------: | -------------- | | 30 + 15$\large n$ | \= 150 | | 15$\large n$ | \= 120 | | $\therefore \large n$| \= {{{correctAnswer}}}|
correctAnswer
8

Answers

Is Correct?Answer
x

5

x

6

✓

8

x

10

x

12

Tags