one car salesperson makes a weekly salary of $400, plus $100 commission for each car sold. the other car…
one car salesperson makes a weekly salary of $400, plus $100 commission for each car sold. the other car salesperson makes a weekly salary of $550, plus $70 commission for each car sold. which equation can be used to solve for the number of cars, c, for which both salespeople make the same amount in one week? 400 + 550 = 100c + 70c 550 - 400 = 70c - 100c 400c + 100 = 550c + 70 400 + 100c = 550 + 70c
Answer
Answer:
400 + 100c = 550 + 70c
Explanation:
Step1: Define earnings of first salesperson
The first sales - person has a base salary of $400 and a $100 commission per car sold. So their total weekly earnings E1 is $400+100c$, where c is the number of cars sold.
Step2: Define earnings of second salesperson
The second sales - person has a base salary of $550 and a $70 commission per car sold. So their total weekly earnings E2 is $550 + 70c$.
Step3: Set earnings equal
To find when both salespeople make the same amount, we set E1 = E2. So, $400+100c=550 + 70c$.