Peter R. answered 12/07/22
Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.
The contents of Kayla's pool after w weeks is 10595 + 26w
The contents of Jayleen's pool is 11400 - 9w
Set the two equal to solve for w: 10595 + 26W = 11400 - 9w
35w = 805 so w = 805/35 = 23 weeks
If you plug 23 weeks into both equations you'll see that both pools will be at 11,193 gals at that time.