Question

Christian is comparing two checking accounts. One has a monthly fee of $7 and a per-check fee of $0.20, and the other has a monthly fee of $8 and a per-check fee of $0.15. What is the minimum number of checks Christian needs to write for the second bank to be a better option? A. 22 B. 21 C. 19 D. 18

Answer 1

Option B. 21

Explanation:

Christian is comparing two checking accounts.

First account has monthly fee = $7.00

and a per check fee = $0.20

Second account has monthly fee = $8.00

and a per check fee = $0.15

Now make equation to compare both accounts

7 + 0.20x = 8 + 0.15x

7 = 8 + 0.15x - 0.20x

7 = 8 - 0.05x

7 - 8 = -.05x

-1 = - 0.05x

x =
`(1)/(0.05)`

x = 20

On 20th check first account and second account are charged equal.

on 21st check second account would be a better option.