A car odometer showed 6,437.5 miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven 422.3 miles?

The odometer showed 6,015.2 miles at the beginning of the trip.

Step-by-step explanation:

The odometer increases according to the number of miles traveled.

Before the trip, it showed x miles.

During the trip, the car was driven 422.3 miles.

After the trip, it showed 6,437.5 miles.

So

x + 422.3 = 6437.5

x = 6437.5 - 422.3

x = 6,015.2

The odometer showed 6,015.2 miles at the beginning of the trip.