Final answer:
Ryleigh earned $115 without tips.
Step-by-step explanation:
To calculate how much Ryleigh earned without tips, we need to find her base pay for the 6 hours of work. Ryleigh earns $15 per hour, so her base pay for 6 hours is $15 x 6 = $90.
Now, let's calculate the tips she received. The waiters give her 25% of their tips. Let's say the waiters received a total of $100 in tips. Ryleigh receives 25% of $100, which is (25/100) x $100 = $25.
Therefore, Ryleigh earned a total of $90 + $25 = $115 without tips.