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LenKa [72]
3 years ago
5

Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commission o

n top of her base salary equal to 30% of her total sales for the week. How much would Natalie make in a week in which she made $225 in sales? How much would Natalie make in a week if she made x dollars in sales?
Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:

Total weekly salary = Basic salary + Commissions

If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5

Total weekly salary = Basic salary + Commissions = $300 + $67.5

Total weekly salary = $367.5

b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x

Total weekly salary = Basic salary + Commissions = $300 + $0.3x

Total weekly salary = $(300 + 0.3x)

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Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

    4x = 44

      x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

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Answer:

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