Question 655663
Plan A = 10x + 142
Plan B = 48 + 22y

Equate them
10x + 142 = 22y + 48
22y - 10x = 142 - 48
22y - 10x = 94
divide by 2

11y - 5x = 47
What I did was just use trial and error at this point.

11(7) - 5(6) = 47
For Plan A,  the amount of trips is 6
For Plan B, the amount of trips is 7