Hi Thomas,
Let's let t = number of text messages in excess of 1000
The 1st 1000 messages cost $10, additional messages cost $0.10 and Jean wants to spend less than $25 a month.
We can set up the problem like this
0.10t =15
t = 150
Since t represents the number of messages beyond the first 1000, Jean can send 1,150 messages for $25 a month.
Note: There's a bit of a contradiction in your question. In the heading it says how many texts for $25 a month. In the body of the post it says less than $25 a month.
If the correct question is as in the title, the answer is 1,150 texts a month.
If the correct question is as in the body of the post, the answer is 1,149 texts a month, since we want to spend less than $25 a month.