Hannah and Francine have a total of $120. Hannah and Peter have a total of $230. Peter has 6 times as much money as Francine. How much money does Hannah have?
Answer (2)
x − F r an c in e ′ s m o n ey 6 x − P e t e r ′ s m o n ey 120 − x − H ann a ′ s m o n ey 120 − x + 6 x = 230 − x + 6 x = 230 − 120 5 x = 110 ∣ : 5 x = 22 6 x = 6 ⋅ 22 = 132 120 − 22 = 98 H anna ha s $98
Hannah has $98. We found this by defining the variables for Francine and Peter's money, creating equations based on their totals, and solving for the amounts. After calculating, we determined that Francine has $22, which allows us to find Hannah's share as $98.
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