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.
