Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $1200 for each car sold. The second pays a salary of $22400 plus a commission of $300 for each car sold. How many cars would need to be sold to make the total pay the same?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
Problem 5.48TI: Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each...
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Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $1200 for each car sold. The second pays a salary of $22400 plus a commission of $300 for each car sold. How many cars would need to be sold to make the total pay the same?

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Sol:Let   X represent number of sold carsNow, According to question ,when salary = $8000 and commision per car = $1200then 1200 x +8000   ...(1)And when salary = $22400 and comission per car = $300then300x + 22400 ....(2)

 

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