part a a salesperson is selling cooking sets for $120 each. the salesperson receives 22.5% of the sales…

part a a salesperson is selling cooking sets for $120 each. the salesperson receives 22.5% of the sales price as commission. the salesperson sells an unknown number of units on tuesday. the salesperson made a total of $351 commission for the sale. write an equation that could be used to find the number of cooking sets x sold. part b solve the equation. how many cooking sets were sold? sets

part a a salesperson is selling cooking sets for $120 each. the salesperson receives 22.5% of the sales price as commission. the salesperson sells an unknown number of units on tuesday. the salesperson made a total of $351 commission for the sale. write an equation that could be used to find the number of cooking sets x sold. part b solve the equation. how many cooking sets were sold? sets

Answer

Explanation:

Step1: Calculate the commission per set

The sales - price of each cooking set is $120, and the commission rate is 22.5%. So the commission per set is $120\times0.225 = 27$.

Step2: Set up the equation

Let $x$ be the number of cooking sets sold. The total commission is $351$. The equation is $27x=351$.

Step3: Solve the equation for $x$

Divide both sides of the equation $27x = 351$ by 27: $x=\frac{351}{27}=13$.

Answer:

13