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?

RunningManZZ Apr 19, 2021

#1**+1 **

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

ElectricPavlov May 7, 2021