Tommy and Victor each had a collection of hats. The ratio of Tommy's hats to Victor's hats was 4:3. When Victor found 20 more hats, the ratio became 1:2. How many hats did Tommy have?
t/v = 4/3
t = 4/3 v
then add 20 hats to v
t / (v+20) = 1/2
t = 1/2 (v+20)
4/3 v = 1/2v +10
8/6 v = 3/6 v + 10
5/6 v = 10
v = 12 originally then t = 4/3 v = 16 hats