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The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
What is an equation?
An equation is formed when two equal expressions are equated so that the value of a variable can be found.
Let the number of hours for which the first person worked on the car is x
In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,
[tex]x+y =15[/tex]
The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as
[tex]85x+120y = 1450[/tex]
As we got the two-equation solving the two-equation, to get our answer.
In the first equation, we will isolate y, in order to get the value of y in terms of x,
[tex]x+y = 15\\y = 15-x[/tex]
As we got the value of y, substitute the value in the second equation,
[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]
As we have the value of x, substitute the value in the first equation,
[tex]x+y=15\\(5)+y=15\\y=10[/tex]
Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
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