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.

Question

Lisa Miller

Mathematics

15 March, 01:24

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.

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Brice · Answer 1

They must sell 2700 dollars to recieve the same sallary.

Step-by-step 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.