Question

Scarlett and Mia work at a furniture store. Scarlett is paid $185 per week plus 3% of her total sales in dollars, x x, which can be represented by g ( x ) = 185 + 0.03 x g(x)=185+0.03x. Mia is paid $23 per week plus 9% of her total sales in dollars, x x, which can be represented by f ( x ) = 23 + 0.09 x f(x)=23+0.09x. Determine the value of x x, in dollars, that will make their weekly pay the same.

Answer 1

They must sell 2700 dollars to recieve the same sallary.

Explanation:

The expression for Scarlett's sallary is:

g(x) = 185 + 0.03*x

The expression for Mia's sallary is:

f(x) = 23 + 0.09*x

In order for them to recieve the same sallary they must sell:

185 + 0.03*x = 23 + 0.09*x

0.09*x - 0.03*x = 185 - 23

0.06*x = 162

x = 162/0.06 = 2700

They must sell 2700 dollars to recieve the same sallary.