Question

Garrett needs a baseball coach. Coach A is offering her services for an initial $4,800 in addition to $550per hour. Coach B is offering her services for an initial $4,500 in addition to $700 per hour. When will thetwo coaches charge the same amount of money?The two coaches will charge the same amount of money afterhours.

Answer 1

Let's define

x: time is hours

Coach A services costs 4800 + 550x dollars

Coach B services costs 4500 + 700x dollars

If both coaches charge the same:

4800 + 550x = 4500 + 700x

4500 is adding on the right, then it will subtract on the left

550x is adding on the left, then it will subtract on the right

4800 - 4500 = 700x - 550x

300 = 150x

150 is multiplying on the left, then it will divide on the left

300/150 = x

2 = x

The two coaches will charge the same amount of money after 2 hours.