Laura has a box of beads. She gave 1/6 of her beads to her sister, 20% to her brother and 0.3 of the total to her aunt. If she is left with 62 beads, how many beads did she start with?

I thought the answer was as simple as 1/6 + 1/5 + 1/3 + 62 to get the number of beads in the box, but I think I have lost my mind here.