A bank offers two checking plans. The anywhere plan charges 20 cents per check. The Accucheck plan costs 60 cents a month, plus 15 cents per check.

For what number of checks will the accucheck plan cost less thaan the anywhere plan?

Question

A bank offers two checking plans. The anywhere plan charges 20 cents per check. The Accucheck plan costs 60 cents a month, plus 15 cents per check.

For what number of checks will the accucheck plan cost less thaan the anywhere plan?

anonymous · Answer

For more than 12 checks

tad1 · Answer

a=.20c
b  = .60 + .15 c
set a = b
.20c = .60 + .15c

.5c = 60

anonymous · Answer

more than 12 checks? or 12 or more checks?

tad1 · Answer

.05c = 60
c = 60/.05
c = 120

anonymous · Answer

More than 12 checks. At 12, it's equal.

tad1 · Answer

aq147852 you divided by 5 not .05
There's only 5 cents there

anonymous · Answer

@tad1: You've made a mistake. It should be 0.60/0.05, not 60/0.05

anonymous · Answer

Back substitute and you'll see

tad1 · Answer

thanks, you're right

anonymous · Answer

Thank you!

anonymous · Answer

aq one last question. I have options and there is an option of 12. Should I mark 12  or more than 12? Just want to be sure.

anonymous · Answer

More than 12. If you have 13, that's your answer!

anonymous · Answer

thank you!

anonymous · Answer

@tad1: No problem! And you explained the whole sum, which is great!
@rachelgreen13: You're welcome!