Alicia deposited 41 dollars into her checking account. She wrote checks for 31 dollars and 13 dollars. Now her account has a balance of 81 dollars. How much did she have in her account to start with?
Answer (2)
Alicia initially had $84 in her account.
Let x be the initial amount Alicia had in her account.
After depositing $41, her account balance becomes x + 41.
After writing a check for $31, her balance decreases by $31, so it becomes (x + 41) - 31 = x + 10.
After writing another check for $13, her balance decreases by $13, so it becomes (x + 10) - 13 = x - 3.
Finally, we know that her balance is now $81, so we set up the equation:
x - 3 = 81
Now, solve for x:
x = 81 + 3
x = 84
So, Alicia initially had $84 in her account.
Alicia initially had $84 in her account. After depositing $41 and writing checks totaling $44, her final balance was $81. By setting up an equation, we determined her starting balance was $84.
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