Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $6.25 per hour. Waitress B is offering her services for an initial $26 in addition to $5.25 per hour. When will the two waiters charge the same amount of money?

at 6 hours

establish equations for the 2 situations

let h be the hours worked by both

Waiter A : y = 6.25h + 20

Waiter B : y = 5.25h + 26

equate the right side of both equations

6.25h + 20 = 5.25h + 26 (subtract 5.25h from both sides)

h + 20 = 26 (subtract 20 from both sides)

h = 6