#### Answer

$250$ baking cups

#### Work Step by Step

Since you have $22$ dollars to spend and the muffin tin costs $15$ dollars, you have $22-15=7$ dollars to spend on baking cups. Since each package of baking cups costs $1.25$ dollars, you can take the truncated quotient of $7\div1.25=5.6\approx 5$. You can buy $5$ sets of baking cups. Since each set of baking cups contains $50$ cups, you can do $50\times5=250$ for your answer.
You can buy $250$ baking cups total.