sat-dog

Choice A is correct. Subtracting $180$ from both sides of the given equation yields $5p=70$. Dividing both sides of this equation by $5$ yields $p=14$. Therefore, the value of $p$ that satisfies the equation $5p+180=250$ is $14$.

Choice B is incorrect. This value of $p$ satisfies the equation $5p+180=505$.

Choice C is incorrect. This value of $p$ satisfies the equation $5p+180=610$.

Choice D is incorrect. This value of $p$ satisfies the equation $5p+180=\mathrm{1,430}$.