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Sandy is trying to reconstruct her spending pattern from July. She knows that she had [tex]$\$[/tex]277[tex]$ in her account on July 1, but after that, her receipts and balance statements are all scrambled. Here are Sandy's records:

\begin{tabular}{|c|c|r|}
\hline
Date & Transaction Type & Amount (\$[/tex]) \\
\hline
[tex]$7 / 26$[/tex] & Purchase & 86 \\
\hline
[tex]$7 / 25$[/tex] & Deposit & 76 \\
\hline
[tex]$7 / 4$[/tex] & Purchase & 137 \\
\hline
[tex]$7 / 6$[/tex] & Deposit & 90 \\
\hline
[tex]$7 / 10$[/tex] & Purchase & 131 \\
\hline
[tex]$7 / 9$[/tex] & Purchase & 145 \\
\hline
[tex]$7 / 15$[/tex] & Deposit & 152 \\
\hline
[tex]$7 / 19$[/tex] & Purchase & 137 \\
\hline
\end{tabular}

Assuming that this is a complete, if scrambled, record of Sandy's July spending and that any overdraft fees incurred do not affect the running total, how many times did Sandy overdraw her account in July?

A. Sandy never overdrew her account.
B. Sandy only overdrew her account once.



Answer :

GinnyAnswer
To determine how many times Sandy overdraw her account in July, let's follow her transactions step by step with her initial balance of [tex]$277: 1. July 4: Sandy made a purchase of \$[/tex]137.
- New balance: [tex]\( 277 - 137 = 140 \)[/tex]

2. July 6: Sandy deposited \[tex]$90 into her account. - New balance: \( 140 + 90 = 230 \) 3. July 9: Sandy made a purchase of \$[/tex]145.
- New balance: [tex]\( 230 - 145 = 85 \)[/tex]

4. July 10: Sandy made another purchase of \[tex]$131. - New balance: \( 85 - 131 = -46 \) - Overdrawn! (1st overdraw) 5. July 15: Sandy deposited \$[/tex]152 into her account.
- New balance: [tex]\( -46 + 152 = 106 \)[/tex]

6. July 19: Sandy made a purchase of \[tex]$137. - New balance: \( 106 - 137 = -31 \) - Overdrawn! (2nd overdraw) 7. July 25: Sandy deposited \$[/tex]76 into her account.
- New balance: [tex]\( -31 + 76 = 45 \)[/tex]

8. July 26: Sandy made a purchase of \$86.
- New balance: [tex]\( 45 - 86 = -41 \)[/tex]
- Overdrawn! (3rd overdraw)

Throughout July, Sandy overdug her account 3 times.

Thus, the correct answer is:
c. Sandy overdrew her account three times.

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