Steve had 1/3 as many hats as Lucas. Lucas gave 5 hats to Steve so that they would each have the same amount. How many hats did they have altogether?

Let Lucas has x hats

Steve has hats = 1/3 * x = x/3

Lucas gave 5 hats to Steve

Lucas had hats = x - 5

Steve had hats = (x/3 + 5)

x - 5 = x/3 + 5

3x - 15 = x + 15

2x = 30

x = 15

Lucas has 15 hats

Steve than = x/3 = 5 hats

Total hats = 20 hats