Neil sells cars at World-O-Wheels and earns a base salary of $225 per week plus 6% commission on his car sales. Geddy sells cars at YYZ Auto and earns a base salary of $150 per week plus 8% commission on his car sales. What total dollar value of cars do Neil and Geddy each need to sell in order for them to earn the same amount of money in any given week?

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Respuesta :

Answer:

Neil and Geddy each need to sell $3,750 in order to earn the same amount of money in any given week

Step-by-step explanation:

Let

y -----> total amount of money earned per week

x ----> cars sales per week

we know that

World-O-Wheels (Neil)

[tex]y=0.06x+225[/tex] -----> equation A

YYZ Auto (Geddy)

[tex]y=0.08x+150[/tex] -----> equation B

Solve the system

Equate equation A and equation B

[tex]0.08x+150=0.06x+225[/tex]

Solve for x

[tex]0.08x-0.06x=225-150[/tex]

[tex]0.02x=75[/tex]

[tex]x=\$3,750[/tex]

therefore

Neil and Geddy each need to sell $3,750 in order to earn the same amount of money in any given week

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