Hanna and Fran have 120. Hanna and Pete have 230.Pete has 6 times as much as Hanna. How much does Hanna have?

h + f = 120

h + p = 230
p = 6h

plug p = 6h into the second
h + 6h = 230
7h = 230
h = 230/7
p= 6(230/7) = 1380/7
into 1st
230/7 + f = 120
f = 120-230/7 = 610/7

h = 230/7
f = 610/7
p = 1380/7