The ratio of the number of apples Nicole and Hannah had was 1:3. When Nicole bought 4 more apple and Hannah bought 3 more apples, the ratios became 1:2. Find the number of applles Hannah had in the end.
Originally n = 3 h
then n+4 = 2 ( h+3 ) sub in the first equation
3h + 4 = 2 ( h +3)
h = 2 2 + 3 = 5 apples in the end for H