# Matt has \$100 dollars in a checking account and deposits \$20 per month. Ben has \$80 in a checking ac

Discussion in 'Calculator Requests' started by math_celebrity, May 27, 2020.

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1. ### math_celebrityAdministratorStaff Member

Matt has \$100 dollars in a checking account and deposits \$20 per month. Ben has \$80 in a checking account and deposits \$30 per month. Will the accounts ever be the same balance? explain

Set up the Balance account B(m), where m is the number of months since the deposit.

Matt:
B(m) = 20m + 100

Ben:
B(m) = 80 + 30m

Set both balance equations equal to each other to see if they ever have the same balance:
20m + 100 = 80 + 30m

To solve for m, we type this equation into our search engine and we get:
m = 2

So yes, they will have the same balance at m = 2
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