Answer:
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 = [tex]50+0.5x[/tex]
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 = [tex]45+0.75x[/tex]
We need to find the number of miles at which both companies cost are are same.
Solving to find the same we get;
[tex]50+0.5x=45+0.75x[/tex]
Combining like terms we get;
[tex]0.75x-0.5x=50-45\\\\0.25x=5[/tex]
By Division property of equality we will divide both side by 0.25 we get;
[tex]\frac{0.25x}{0.25} =\frac{5}{0.25} \\\\x= 20 \ miles[/tex]
Hence at 20 miles both companies cost will be same.
