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A moving company charges $40 plus $0.10 per mile to rent a moving van. Another company charges $10 plus $0.25 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.



Answer :

We will use an equation to model both costs and set them equal to each other to figure out the value for n.

[tex]40+0.10n=10+0.25n[/tex]

[tex]30+0.10n=0.25n[/tex]

[tex]30n=0.15n[/tex]

[tex]200=n[/tex]

At 200 miles, the cost will be the same.

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