I used simultaneous equations. x=number of days in Tampa, y=number of days in orlando
$${\mathtt{275}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{400}}{\mathtt{\,\times\,}}{\mathtt{y}} = {\mathtt{2\,300}}$$ (1)
$${\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}} = {\mathtt{7}}$$ (2)
$${\mathtt{275}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{275}}{\mathtt{\,\times\,}}{\mathtt{y}} = {\mathtt{1\,925}}$$ (3)
Take (3) from (1)
$${\mathtt{125}}{\mathtt{\,\times\,}}{\mathtt{y}} = {\mathtt{375}}$$
Therefore y = 3 (375/125)
Now sub [y=3] into (2)
$${\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}} = {\mathtt{7}}$$
Therefore x = 4
Now we know that you should spend 4 days in Tampa and 3 days in Orlando.
(we can also solve this by guessing that x=4, y=3 and then checking with an equation)