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Sue's bank account has a balance of [tex]$\$[/tex] 899.83[tex]$ before she starts spending money. She makes the following transactions:

\begin{tabular}{|c|r|}
\hline
Transaction & \multicolumn{1}{|c|}{ Cost (\$[/tex]) } \\
\hline
Rent & 353.76 \\
\hline
Video game & 32.79 \\
\hline
Bike maintenance & 60.26 \\
\hline
Jacket & 55.62 \\
\hline
Rug & 80.40 \\
\hline
Night out & 35.77 \\
\hline
\end{tabular}

Sue is considering splitting the cost of a new TV with her roommate. Her share would be [tex]$\$[/tex] 305.22$. Can Sue afford this?

A. Yes, she can make the purchase and have money left over.

B. Yes, but doing so will clear out her account.

C. No, making that purchase will overdraw her account.

D. No, she is overdrawn already.



Answer :

GinnyAnswer
Sure, let's break down the steps to determine whether Sue can afford her share of the new TV after her transactions.

1. Initial Balance in Sue's Bank Account:
- Initial Balance = \[tex]$899.83 2. List of Transactions: | Transaction | Cost (\$[/tex]) |
|---------------|-----------|
| Rent | 353.76 |
| Video game | 32.79 |
| Bike maintenance | 60.26 |
| Jacket | 55.62 |
| Rug | 80.40 |
| Night out | 35.77 |

3. Sum of All Transactions:
- Total Transactions Cost = 353.76 + 32.79 + 60.26 + 55.62 + 80.40 + 35.77
- Total Transactions Cost = \[tex]$618.60 4. Remaining Balance After Transactions: - Remaining Balance = Initial Balance - Total Transactions Cost - Remaining Balance = 899.83 - 618.60 - Remaining Balance = \$[/tex]281.23

5. Cost of Sue’s Share of the New TV:
- TV Share Cost = \[tex]$305.22 6. Balance After Purchasing the TV Share: - Balance After TV Purchase = Remaining Balance - TV Share Cost - Balance After TV Purchase = 281.23 - 305.22 - Balance After TV Purchase = -\$[/tex]23.99

7. Conclusion:
- Since Sue’s balance after purchasing the TV would be -\$23.99, it means she cannot afford this purchase without overdrawing her account.

Given these calculations, the answer to whether Sue can afford her share of the new TV is:

c. No, making that purchase will overdraw her account.

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