Question

Chris is comparing two sales positions. The first pays a weekly salary of $375 plus a 20% commission. The second pays a weekly salary of $325 plus a 25% commission. How μch μst he make in sales per week for the two jobs to pay the same?

a) Set up the equation for the first job: (375 + 0.20x), where (x) is the sales amount.

b) Set up the equation for the second job: (325 + 0.25x), where (x) is the sales amount.

c) Set the two equations equal to each other and solve for (x):
375 + 0.20x = 325 + 0.25x

Answer 1

Chris must make $1000 in sales per week for both jobs to pay the same amount. The first job's earnings are represented by the equation 375 + 0.20x, and the second job's earnings by 325 + 0.25x. By equalizing these equations, we solve for x, which equals $1000.

Step-by-step explanation:

To determine how much Chris must make in sales per week for the two jobs to pay the same, we will solve the equation that sets both payment structures equal to each other.

For the first job, the earnings can be represented by 375 + 0.20x where x is the sales amount.

For the second job, the earnings are given by 325 + 0.25x where x is again the sales amount.

Setting these equations equal to each other, we have:

375 + 0.20x = 325 + 0.25x

Subtracting 0.20x from both sides of the equation gives us:

375 = 325 + 0.05x

Then, subtracting 325 from both sides:

50 = 0.05x

Dividing both sides by 0.05, we find:

x = 1000

Therefore, Chris must make $1000 in sales per week for the two jobs to offer the same pay.