Charley's rent a truck agency charges $47 per day plus 8 cents per mile to rent a certain truck. Hugh's rent a truck charges $40 per day plus 15 cents per mile to rent the same truck. How much miles will have to be driven in one day for the cost of charley's car to equal the cost of hugh's truck?

100 miles must be driven in one day for the cost of charley's car to equal the cost of hugh's truck.

Step-by-step explanation:

Let x represent the number of miles that must be driven in one day for the cost of charley's car to equal the cost of hugh's truck.

Charley's rent a truck agency charges $47 per day plus 8 cents per mile to rent a certain truck. It means that the cost of renting this truck and driving x miles in a day is

47 + 0.08x

Hugh's rent a truck charges $40 per day plus 15 cents per mile to rent the same truck. It means that the cost of renting this truck and driving x miles in a day is

40 + 0.15x

For the cost of both trucks to be the same, the number of miles would be

40 + 0.15x = 47 + 0.08x

0.15x - 0.08x = 47 - 40

0.07x = 7

x = 7/0.07

x = 100 miles