A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $\$5$. The premium ticket, which includes admission and food to give to the animals, costs $\$12$. One Saturday, the petting zoo sold a total of 250 tickets and collected a total of $\$2,300$ from ticket sales. Which of the following systems of equations can be used to find the number of standard tickets, s, and premium tickets, $p$, sold on that Saturday?