Stacey's text messaging plan charges 20¢ for each message over 450 in addition to a $14 base charge. If she owes $18.00 for text messaging in the month of February, how many text messages did she send that month?

Stacey sent 470 text messages in the month of February.

Let's assume that Stacey sent x text messages in February. We know that her plan charges 20¢ for each message over 450, in addition to a $14 base charge. To find the total cost for her text messages in February, we can set up the following equation:

Total cost = Base charge + (Additional messages * Charge per message)

The base charge is $14, and the number of additional messages beyond 450 is (x - 450) since 450 messages are already covered in the base charge. The charge per message is 20¢, which is equivalent to 0.20 dollars. So, the equation becomes:

$18.00 = $14.00 + (0.20 * (x - 450))

Now, let's solve for x:

$18.00 - $14.00 = 0.20 * (x - 450)

$4.00 = 0.20x - 90

$4.00 + $90 = 0.20x

$94.00 = 0.20x

Now, to find the value of x (the total number of text messages), we divide both sides by 0.20:

x = $94.00 / 0.20

x = 470

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$18 = 14 + 0.20(t)

- 14

4 =  0.20t

Divide 4 by 0.20

t = 20

0.20 * 20 = 4

4 + 14 = 18

Because it only charged her for texts after 450, its 450 + 20.

470. She sent 470 texts that month.