let minutes = m
let total = t
For the first plan (1), the cell phone plan charges $20 a month (flat fee), and $0.15 per minute.
For the second plan (2), the cell phone plan charges $35 a month (flat fee) and $0.10 per minute
(1) t = 0.15m + 20
(2) t = 0.10m + 35
Because they all equal t, set them equal to each other
0.15m + 20 = 0.10m + 35
0.15m (-0.10m) + 20 (-20) = 0.10m (-0.10m) + 35 (-20)
0.15m - 0.10m = 35 - 20
0.05m = 15
Isolate the m. Divide 0.05 from both sides
0.05m/0.05 = 15/0.05
m = 15/0.05
m = 300
300 minutes is your answer
hope this helps