Your current account balance is $215. You have $322 of expenses each month. Your income is $444 per month. How long will it take you to accumulate a balance of $1000 in your account.

Let y be the balance in your account. Let x be the number of months.

y = 215 + (444-322) x = 215 + 122x

1000 = 215 + 122x

785 = 122x

x = 6.43 months

By doing some simple math, we find that your net income is $122 every month. So, we must add $122 to $215 and count up in the months as we go.

$215+$122 = $337 (month 1)

$337+$122=$459 (month 2)

$459+122=$581 (month 3)

$581+$122=$703 (month 4)

$703+$122=$822 (month 5)

$822+$122=$947 (month 6)

$947+$122=$1,069 (month 7)

So on month 7 we finally got past $1,000!