A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. Write and solve an equation to determine for how many miles the cost be the same for the two companies?

The required equation is

30+0.15x=15+0.20x

The cost will be same for two companies for 300 miles.

Step-by-step explanation:

Given that,

The charges of a moving company is $ 30 plus $0.15 per mile to rent a moving van.

The charges of another company is $15 plus $0.20 per mile to rent a same van.

Assume, the charges of both companies will be same after x miles.

For the first company, the charges of x miles is= $(30+0.15x)

For the second  company, the charges of x miles is= $(15+0.20x)

Since the charges are same for both companies.

So, the required equation is

30+0.15x=15+0.20x

⇒0.15x-0.20x=15-30

⇒ - 0.05x= -15

⇒x=300

The cost will be same for two companies for 300 miles.

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