Hanna and Fran have $120, Hanna and Pete have $230. Pete has 6x more than Fran. How much money does Hanna have?

Fran --- x

Pete ---- 6x
Hannah --- y

y + x = 120
y+6x = 230
subtract them
5x = 110
x = 22
then y = 98

Hannah has $98
(Fran has 22 and Pete has 132