Lucas had some money. He spent $55 on some files, 1/6 of the money on

some books and 1/10 of the remaining money on stationery. He saved the rest
of the money. If he saves $90,
(a) how much money did he have at first?
(b) what fraction of his money did he save?

$55 + $100 = $155

155 + 31 = 186

90/186 = 15/31