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
400 + 100 = 550c
550 – 400 = 70c – 100c
400 + 100c = 550 + 70c
To find the number of cars, ( c ), for which both salespeople make the same amount in one week, we need to set up an equation based on their earnings.
1. The first salesperson’s earnings can be expressed as:
[ E_1 = 400 + 100c ]
2. The second salesperson’s earnings can be expressed as:
[ E_2 = 550 + 70c ]
To find when both earnings are equal, we set ( E_1 ) equal to ( E_2 ):
[ 400 + 100c = 550 + 70c ]
From the options provided, this corresponding equation is:
400 + 100c = 550 + 70c
So the correct answer is the fourth option. This equation can then be solved for ( c ) to find the number of cars sold for equal earnings. If you have any further questions on how to solve it, feel free to ask!