Let's define the following variables:
x = number of text messages sent or received
c = cost of text messages
Total cost = $29.99 + c
To find the maximum number of text messages you can send or receive, we need to set the total cost equal to $34 and solve for x:
$34 = $29.99 + c
c = $34 - $29.99
c = $4.01
Since each text message costs $0.17, you can send or receive a maximum of $4.01 / $0.17 = 23.53 text messages, which rounds down to 23 text messages.