95.6k views
5 votes
Kimuyen needs to earn $3,850 per month in order to pay all her expenses. Her job pays her $3,375 per month plus 4% of her total sales. What is the minimum Kimuyen's total sales must be (in dollars) in order for her to pay all her expenses?

User John Arlen
by
8.3k points

1 Answer

2 votes

Final answer:

Kimuyen must achieve a minimum total sales of $11,875 in order to pay all her expenses.

Step-by-step explanation:

To find the minimum total sales that Kimuyen must achieve to pay all her expenses, we need to set up an equation.

Let's assume her total sales in a month is x dollars.

According to the given information, her job pays her $3,375 per month plus 4% of her total sales. So, her monthly income is $3,375 + 0.04x.

This income must be equal to or greater than her expenses of $3,850.

So, we can write the equation as:

$3,375 + 0.04x ≥ $3,850

To solve for x, we subtract $3,375 from both sides of the inequality:

0.04x ≥ $3,850 - $3,375 = $475

Then, we divide both sides of the inequality by 0.04 to isolate x:

x ≥ $475 ÷ 0.04 = $11,875

Therefore, the minimum total sales Kimuyen must achieve is $11,875.

User GreenReaper
by
8.2k points