Answer:
A person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.
Explanation:
You can write an equation in which the amount charged by bank a is equal to the amount charged by bank b. The amount bank a charges is 6 plus 0.10 for the number of checks written and the amount bank b charges is 5.20 for the number of checks written.
6+0.10x=5.20x, where x is the number of checks written
Now, you can solve for x to find the number of checks written where the two banks charge the same amounts in fees:
6=5.20x-0.10x
6=5.10x
x=6/5.10
x=1.17
According to this, the answer is that a person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.