Quick movers charges $50 a day and $0.50 per mile . abc movers charges $45 a day and $0.75 a mile at how many miles is the cause the same for both companies?

At 20 miles both companies cost will be same.

Step-by-step explanation:

Let Number of miles be 'x'.

Given:

Quick movers charges $50 a day and $0.50 per mile .

So we can say Total charge is equal to sum of per day charge plus number of miles multiplied by cost of per mile.

framing in equation form we get;

Quick movers charges =

Also Given:

ABC movers charges $45 a day and $0.75 per mile .

So we can say Total charge is equal to sum of per day charge plus number of miles multiplied by cost of per mile.

framing in equation form we get;

ABC movers charges =

We need to find the number of miles at which both companies cost are are same.

Solving to find the same we get;

Combining like terms we get;

By Division property of equality we will divide both side by 0.25 we get;

Hence at 20 miles both companies cost will be same.

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step-by-step explanation: