Lucy had $$\frac{5}{9}$$ as many beads as Beth. After Beth gave 25 beads to Lucy, Lucy had $$\frac{3}{4}$$ as many beads as Beth. <hr> How many beads did Lucy have at first? <br> <input min="0" type="number" id ="imp6pg057q11_1" class="lineinput" placeholder="?" />