Question

pauletta detweiler is paid a salary of $325 a week plus 2 3/4% commission on weekly sales over $6500. her sales last week totaled $17400. what were her total earning for the week ?

Answer 1

Answer:

$ 624.75

Step-by-step explanation:

Given

Her base salary = $325,

Also, commission for sales over $6500 = $2\frac{3}{4}\%$

Let x be the sale ( in dollars )

Then her commission = $2\frac{3}{4}\%$ of (x-6500),

So, her earning = base salary + commission

$=325+ \frac{2\frac{3}{4}\times (x-6500)}{100}$

$=325+\frac{11(x-6500)}{400}$

$=325+\frac{11x-71500}{400}$

According to the question,

x = 17400

Hence, her earning = $325+\frac{11\times 17400-71500}{400}$

$=325+\frac{119900}{400}$

$=325+299.75$

= $ 624.75

Answer 2

So we know she gets $325 a week  plus 2.75% percent commission on weekly sales over $6500. She had sales of $17400 in a week, which is, of course, more than $6500 so we must calculate her commission percentage and add it to the $325 she made that week. 
A percentage written as a fraction is x over 100, so that's 2.75/100. In decimal form, this is 0.0275. 
Multiply 17400 by 0.0275 to get the product of the commission she earns. 
17400 * 0.0275 = 478.5
So her boss will pay her $478.50 in commission in addition to the $325 Pauletta makes a week.
325 + 478.50 = $803.50

TLDR: The 2.75% in commission Pauletta made equals $478.50. She made $803.50 total, that week.