Maxim has been offered positions by two car dealers. The first company pays a salary of $10,000 plus a commission of $1,000 for each car sold. The second pays a salary of $20,000 plus a commission of $500 for each car sold. How many cars would need to be sold to make the total pay the same?

Question

30-07-2020
Mathematics

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Maxim has been offered positions by two car dealers. The first company pays a salary of $10,000 plus a commission of $1,000 for each car sold. The second pays a salary of $20,000 plus a commission of $500 for each car sold. How many cars would need to be sold to make the total pay the same?

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callanjlogan callanjlogan · Answer 1 · 2020-07-30T16:45:34+02:00

callanjlogan callanjlogan

30-07-2020

Answer:

20 cars

Step-by-step explanation:

Solve for x!

10000+1000x(the first company)=20000+500x (the second company)

-10000 -10000

1000x=10000+500x

-500x -500x

500x=10000

divide by 500 on both sides,

x=20

Check!

First company: 10000+1000(20)=10000+20000=30000

Second company: 20000+500(20)=20000+10000=30000!

30000=30000

Hope this helped!

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YashBhattar YashBhattar · Answer 2 · 2022-05-27T16:53:24+02:00

Number of cars would need to be sold to make the total pay same is 20

What is Equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context

Given,

The first company pays a salary of $10,000 plus a commission of $1,000 for each car sold

therefore the expression is

10000+1000x

where x is the number of car sold

The second pays a salary of $20,000 plus a commission of $500 for each car sold

Then the expression will be

20000+500x

How many cars would need to be sold to make the total pay the same is

10000+1000x=20000+500x

1000x-500x=20000-10000

500x=10000

x=20

Hence, the number of cars would need to be sold to make the total pay the same is 20

Learn more about Equation and Expression here

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