Gina And Rhonda Work For different Real Estate Agencies . Gina earns a monthly salary of 5,000 plus 6% commission on her sales . Rhonda earns a monthly salary of 6,500 plus a 4% commission on her sales . How Much must each sell to earn the same amount in a month

Respuesta :

5,000 +.06x = 6,500 +.04x
5,000-5,000 +.06x = 6,500-5,000 +.04x
.06x -.04x=1,500+0.04x-0.04x
0.02x=1,500
x=75,000

Check
5,000 +.06(75000) = 6,500 +.04(75000)
5,000 +4500 = 6500 +3000
9500 = 9500

They must each sell $75,000

Answer:

$325000

Step-by-step explanation:

In order to solve this, you need to create an equation, we know that they earn 5,000 and 6,500 each plus comissions the comissions will be represented by "x" and then you just have to equalize both terms:

[tex]6,500+ .04x= 5,000+ 0.06x[/tex]

And now we just solve for x:

[tex]-0.06x+ .04x= 5,000-6,500[/tex]

[tex]-0.02x= -6,500[/tex]

[tex]x=\frac{-6,500}{ -0.02}[/tex]

[tex]x= 325000[/tex]

They both have to sell $325,000 so in comissions their wages will equalize.