Jane had $$\frac{4}{5}$$ as much money as Katherine.<br>After Katherine spent some money on a bag, the ratio of Jane's money to Katherine's money became 6 : 7. <hr> If Jane had $240, how much was the cost of the bag? <br> <input min="0" type="number" id ="imp6pg093q7_1" class="lineinput" placeholder="?" />