Suppose that you work part time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of $85 per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?

Question

Suppose that you work part time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of $85 per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?

Answer 1

earnings1=125+.18Sales1

earnings2=85+.21Sales2

so if earnings1=earnings2
125+.18Sales1=85+.21Sales2

Now if both have the same sales per week (and total earnings were the same), then sales1=sales2)
125+.18Sath=85+.21sath
.03sath=40
sath=40/.03=4000/3=1333

This problem is weird, frankly.

Answer 2

To find out how much you and your friend need to sell in order to earn the same amount in any given week, we can set up an equation based on the given information.

Let's assume the amount you need to sell is $x.

For you:
Your total earnings = Base salary + Commission
Your total earnings = $125 + 0.18x

For your friend:
Your friend's total earnings = Base salary + Commission
Your friend's total earnings = $85 + 0.21x

To find the point at which you and your friend earn the same amount, we can set up the equation:

$125 + 0.18x = $85 + 0.21x

Now, let's solve the equation to find the value of x:

By rearranging the equation, we get:

0.18x - 0.21x = $85 - $125

-0.03x = -$40

Divide both sides of the equation by -0.03 to solve for x:

x = -$40 / -0.03

x = $1333.33

Therefore, you and your friend need to sell approximately $1333.33 each in order to earn the same amount in any given week.

Answer 3

To determine how much you and your friend need to sell in order to earn the same amount in any given week, we can set up an equation. Let's suppose the amount you both need to sell is represented by "x".

For you, your earnings would be calculated as follows:
Base salary: $125 per week
Commission: 18% of sales
Total earnings: $125 + 0.18x

For your friend, the earnings would be calculated as follows:
Base salary: $85 per week
Commission: 21% of sales
Total earnings: $85 + 0.21x

To find the amount you both need to sell to earn the same amount in any given week, we can set up the following equation:

$125 + 0.18x = $85 + 0.21x

Now, let's solve the equation step-by-step to find the value of "x".

1. Subtract $85 from both sides of the equation:

$125 + 0.18x - $85 = $85 + 0.21x - $85

$125 - $85 + 0.18x = 0.21x

2. Combine like terms:

$40 + 0.18x = 0.21x

3. Subtract 0.18x from both sides to isolate the variable:

$40 = 0.21x - 0.18x

$40 = 0.03x

4. Divide both sides by 0.03 to solve for x:

($40) / (0.03) = (0.03x) / (0.03)

x = $1333.33

Therefore, you and your friend would need to sell approximately $1333.33 worth of cars each week to earn the same amount.