need to find the store totle ans weekly salary.

Question

a person pays the manager of his original store a weekly salary of $600 plus 25%of stores weekly sales.to motivate sales in a new store he will pay the manager $500 a week plus35% of the weekly sales. He predicts both will have the same totle of sales and earn the same weekly pay. Determine the amount of sales and the managers salary.

Answer 1

The equation should be the following:

 

600 + 0.25s = 500 + 0.35s

 

subtracting 0.25s from both sides yields

 

600 = 500 + 0.10s

 

subtracting 500 from both sides yields

 

100 = 0.10s

 

multiplying both sides by 10 yields

 

1000 = s

 

The manager's salary is then 600 + 0.25 (1000) or 500 + 0.35 (1000). Each of these equals 850. The sales are 1000.

Answer 2

s = sales

 

For the old store

salary = 650 + 0.25s

 

For the new store

salary = 500 + 0.35s

 

If equal

650 + 0.25s = 500 + 0.35s

150 + 0.25s = 0.35s

150 = 0.1s

1500 = s

 

salary = 650 + 0.25(1500)

salary = 650 + 375

salary = 1025

 

Answer 3

Hi Carmella,

We start by knowing that 600+0.25x is the original store manager's salary, and 500+0.35y is the new store manager's salary. Then we know that x=y because the sales total is the same for both stores, and that the total salary should be the same, so we can set them equal to each other.

 

600+.25x=500+.35x

Solve for x to find the total sales.

 

Then take either side of the equation and solve for the total salary.