Answer:
100 checks
Explanation:
Let for x checks the charges in both accounts are same,
Given,
For checking account a,
Monthly service fee = $ 2,
Fees per check = $ 0.30
So, the total fees for x checks = Monthly service fee + fees per x checks
= 2 + 0.30x
For checking account b,
Monthly service fee = $ 3,
Fees per check = $ 0.20
So, the total fees for x checks = 3 + 0.20x
Thus, we can write,
2 + 0.30x = 3 + 0.20x
2 + 0.30x - 0.20x = 3
0.10x = 1
⇒ x = 100
Hence, for 100 checks the charges in both accounts are same.