Question

Dewayne is comparing two checking accounts. One has a monthly fee of $7 and a per-check fee of $0.30, and the other has a monthly fee of $4 and a per-check fee of $0.40. What is the minimum number of checks Dewayne needs to write for the first bank to be a better option?

Answer 1

7 +0.30x = 4 +0.40x

subtract 4 from each side

3+0.30x = 0.40x

subtract 0.3x from each side

3 = 0.10x

divide both sides by 0.10

3 /0.10 = 30

30 checks would make both accounts equal

so he would need to write 31 checks for the first one to be better.