Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $750 for each car sold. The second company pays a salary of $22,500 plus a commission of $250 per car sold. How many cars would need to be sold to make the total pay the same?

To find out how many cars Max needs to sell in order to make the total pay the same, we can start by setting up an equation.

Let's assume that Max needs to sell x cars to make the total pay the same.

For the first company, the total pay can be represented as:
Total pay for the first company = $12,500 + $750 * x

For the second company, the total pay can be represented as:
Total pay for the second company = $22,500 + $250 * x

Since we want to find the point where the two total pays are equal, we can set up the equation:

$12,500 + $750 * x = $22,500 + $250 * x

Now we can solve this equation to find x.

To find out how many cars would need to be sold for Max to make the same total pay from both companies, we can set up an equation.

Let's suppose the number of cars sold is represented by 'x'.

For the first company, the total pay can be calculated as follows:
Total Pay = Salary + (Commission per car * Number of cars sold)
Total Pay = $12,500 + ($750 * x)

For the second company, the total pay can be calculated as follows:
Total Pay = Salary + (Commission per car * Number of cars sold)
Total Pay = $22,500 + ($250 * x)

To find when the total pay is the same, we can set up an equation:
$12,500 + ($750 * x) = $22,500 + ($250 * x)

Now, let's solve for 'x' to determine the number of cars that would need to be sold to make the total pay the same:

$12,500 + ($750 * x) = $22,500 + ($250 * x)

First, we can simplify the equation by subtracting $250 * x from both sides:
$12,500 + ($500 * x) = $22,500

Next, subtract $12,500 from both sides:
$500 * x = $22,500 - $12,500
$500 * x = $10,000

Now, divide both sides by $500 to solve for 'x':
x = $10,000 / $500
x = 20

So, Max would need to sell 20 cars to make the total pay the same for both companies.

12,500+750x=22,500+250x

12,500+750(20)=22,500+250(20)
12,500+750(20)=27,500
22,500+250(20)=27,500
Cars Sold=20cars