you're planning a 7 day trip to florida. you budget $275 a day when you are in tampa and $400 a day when you are in orlando. if your total b

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)