Question

Brody drives the same distance to and from work each day. He also drives an

additional 1.5 miles each day to go to the gym. During a 5-day workweek, Brody
drives a total of 71.25 miles. What is the distance to and from work?

Answer 1

Explanation:

Let's assume that the distance to and from work that Brody drives each day is represented by the variable "x".

Then, we can create an equation to represent the total distance Brody drives in a week, including the additional 1.5 miles to go to the gym:

2x + 1.5 = total distance driven in a day

Multiplying by 5 (the number of workdays in a week), we get:

10x + 7.5 = 71.25

Subtracting 7.5 from both sides, we get:

10x = 63.75

Dividing both sides by 10, we get:

x = 6.375

Therefore, the distance to and from work that Brody drives each day is 6.375 miles, and the total distance he drives each day (including the additional 1.5 miles to go to the gym) is 6.375 + 1.5 = 7.875 miles.