Let Hanna's money be represented by the variable: x.
Let Francine's money be represented by the algebraic expression: 120 - x
Peter's money can be represented by 6 times Francines or 6(120 - x)
Hannah an Peter have 230 therefore, Hannah's money + Peter's money = 230
`x + 6(120 - x) = 230` .
`x + 720 - 6x = 230`
`-5x = -490`
`x = 98`
Since x represents the amount of money Hannah has, Hannah has $98.