anne has a certain amount of money in her bank account on friday morning. during the day she writes a check for $24.50, makes an atm withdrawal of $80 and deposits a check of $235. at the end of the day she sees that her balance is $451.25. how much did she have in the bank at the beginning of the day?

Let's analyze the problem step-by-step.

Problem Restatement

Anne starts with some amount of money in her bank account on Friday morning. During the day:

• She writes a check for $240 (which means $240 is deducted).
• She makes an ATM withdrawal of $80 (another deduction of $80).
• She deposits a check of $2 (adds $2 to her account).

At the end of the day, her balance is $1.

What is being asked?

How much money did Anne have in her bank account at the beginning of the day?

Solution

Let:

• xxx = the amount of money Anne had at the beginning of the day.

After the transactions, her balance is:

x−240−80+2=1x-240-80+2=1x−240−80+2=1

Simplify the left side:

x−320+2=1x-320+2=1x−320+2=1

x−318=1x-318=1x−318=1

Add 318 to both sides:

x=1+318=319x=1+318=319x=1+318=319

Final Answer

Anne had $319 in her bank account at the beginning of the day.