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Vsevolod [243]
3 years ago
5

kender earns a monthly salary of $2200 plus 3.75% commission on the amount of his sales at a mens clothing store. What would he

earn this month if he sold $4500 in clothing ? round to the nearest cent.
Mathematics
1 answer:
Mumz [18]3 years ago
5 0
<span>168.75+2200

</span><span>168.75 is the 3.75 commission of 2200</span>
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Answer:

The Inequality with integer coefficient for the total sales is 5000+3x\geq 10000

Hence Jonathan should make total sales of at least <u>1667</u> to earn at least 100.

Step-by-step explanation:

Given:

Amount paid per week = 50

Addition amount = 3% of Total sales.

Let the Total sales be 'x'.

∴ Additional amount = \frac{3}{100}x

Amount he wants to earn this week  \geq 100

We need to write the inequality with integer coefficient for the total sales and also to find the total sales.

Solution:

We cans say that;

Amount paid per week plus Additional amount should be greater than or equal to Amount he wants to earn this week.

framing in equation form we get;

50+\frac{3}{100}x\geq 100

Now we will make the denominator common using LCM we get;

\frac{50\times100}{100}+\frac{3}{100}x\geq 100

\frac{5000}{100}+\frac{3}{100}x\geq 100

\frac{5000+3x}{100}\geq 100

Multiplying both side by 100 we get;

100 \times\frac{5000+3x}{100}\geq 100\times 100\\\\5000+3x\geq 10000

Hence The Inequality with integer coefficient for the total sales is 5000+3x\geq 10000

On solving the above equation we get;

Subtracting both side by 5000 we get;

5000+3x-5000\geq 10000-5000\\\\3x\geq 5000

Dividing both side by 3 we get;

\frac{3x}{3}\geq \frac{5000}{3}\\\\x\geq 1666.67

Hence Jonathan should make total sales of at least <u>1667</u> to earn at least 100.

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