Question

Bank a charges a $6 service fee and $ 0.10 for each check written bank b charges $5 and $0.20 for each check written how many checks does a person need to write each month for the two banks to charge the same amounts in fees?

Answer 1

A person needs to write 10 checks for both Bank A with a $6 service fee and $0.10 per check and Bank B with a $5 service fee and $0.20 per check to charge the same amount in fees.

Step-by-step explanation:

The question involves finding the number of checks that need to be written so that two banks charge the same amount in fees. We are given that Bank A charges a $6 service fee and $0.10 for each check written, while Bank B charges a $5 service fee and $0.20 for each check written.

To find the number of checks written for the fees to be equal, we set up an equation where the total cost for both banks is the same:

6 + 0.10x = 5 + 0.20x

Here, x represents the number of checks written. Solving for x we subtract 5 from both sides of the equation:

1 + 0.10x = 0.20x

Now subtracting 0.10x from both sides gives:

1 = 0.10x

Dividing both sides by 0.10 we find:

x = 10

Therefore, a person needs to write 10 checks for the fees from both Bank A and Bank B to be the same.