Step 1: Hannah + Francine = 120
Step 2: Hannah + Peter = 230
Step 3: Peter = 6 x Francie, which means "Hannah + 6xFrancine = 230
Step 4: from step 1, it ca be Francine = 120 - Hannah
Step 5: from step 3, Hannah + 6 x (120 - hannah) = 230
Step 6: -5 x Hannah + 720 = 230
Step 7: -5 x Hannah = -490
Step 8: Hannah = [tex] \frac{-490}{-5} [/tex]
Step 9: Hannah has $98