Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Enola's account went into overdraft. To get back to a positive balance, she deposited money at a steady rate of $\$ 21.1$ per week. After $5$ weeks, she had $\$ 46.06$ in the account. What was the balance when the account went into overdraft? $\newline$ Answer: $\$$

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Q. Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Enola's account went into overdraft. To get back to a positive balance, she deposited money at a steady rate of

\$ 21.1

per week. After

5

weeks, she had

\$ 46.06

in the account. What was the balance when the account went into overdraft?

\newline

Answer:

\$

Identify Given Information: Identify the information given and what needs to be found. $\newline$ We know that Enola deposited $\$21.1$ per week for $5$ weeks and ended up with $\$46.06$ in her account. We need to find out what her balance was before she started making these deposits.
Calculate Total Deposited Amount: Calculate the total amount deposited over the $5$ weeks. $\newline$ To find the total amount deposited, we multiply the weekly deposit amount by the number of weeks. $\newline$ Total deposited = $\$21.1/\text{week} \times 5 \text{weeks}$ $\newline$ Total deposited = $\$105.5$
Determine Overdraft Amount: Determine the overdraft amount. $\newline$ Since Enola ended up with $\$46.06$ after depositing $\$105.5$ , we need to subtract the final balance from the total amount deposited to find out how much her account was overdrawn. $\newline$ Overdraft amount = Total deposited - Final balance $\newline$ Overdraft amount = $\$105.5$ - $\$46.06$ $\newline$ Overdraft amount = $\$59.44$
Calculate Initial Negative Balance: Calculate the initial negative balance. $\newline$ To find the initial negative balance (the overdraft), we need to subtract the overdraft amount from zero, as the account balance would have been negative. $\newline$ Initial negative balance = $0 - \text{Overdraft amount}$ $\newline$ Initial negative balance = $0 - \$(59.44)$ $\newline$ Initial negative balance = $-\$(59.44)$