madelyn logan is an office furniture dealer who earns a $23,000 base salary. she also earns a 4% commission…

madelyn logan is an office furniture dealer who earns a $23,000 base salary. she also earns a 4% commission on sales. how much must she sell to earn a total of $48,000? $ worth of furniture

madelyn logan is an office furniture dealer who earns a $23,000 base salary. she also earns a 4% commission on sales. how much must she sell to earn a total of $48,000? $ worth of furniture

Answer

Explanation:

Step1: Find commission amount

Let the amount of sales be $x$. The total earnings is the sum of the base - salary and the commission. The base salary is $23000$ and the commission rate is $4%=0.04$. The total earnings $T = 23000+0.04x$. We know that $T = 48000$. So, the commission amount $C$ is $48000 - 23000$. $48000−23000 = 25000$

Step2: Calculate sales amount

Since the commission amount $C = 0.04x$ and $C = 25000$, we can solve for $x$. $x=\frac{25000}{0.04}$ $x = 625000$

Answer:

$625000$