Questions: Tony had -15 dollars in his bank account. He deposited 45 dollars into his account. He goes shopping for office supplies and buys a stapler for 5.25, some folders for 3.14 and a desk chair for 35.78. How much money did he now have in his account? Justify your reasoning.
Transcript text: Tony had -15 dollars in his bank account. He deposited 45 dollars into his account. He goes shopping for office supplies and buys a stapler for $\$ 5.25$, some folders for $\$ 3.14$ and a desk chair for $\$ 35.78$. How much money did he now have in his account? Justify your reasoning.
Solution
Solution Steps
To determine how much money Tony has in his account after these transactions, we need to follow these steps:
Start with the initial amount in the account, which is -15 dollars.
Add the deposit amount of 45 dollars to the account.
Subtract the cost of each item he purchased (stapler, folders, and desk chair) from the account balance.
The final result will be the amount of money left in his account.
Step 1: Initial Amount and Deposit
The initial amount in Tony's bank account is given as \( -15 \) dollars. After depositing \( 45 \) dollars, the new balance can be calculated as:
\[
\text{New Balance} = -15 + 45 = 30
\]
Step 2: Total Cost of Purchases
Next, we calculate the total cost of the items Tony purchased:
Cost of the stapler: \( 5.25 \) dollars
Cost of the folders: \( 3.14 \) dollars
Cost of the desk chair: \( 35.78 \) dollars
The total cost is:
\[
\text{Total Cost} = 5.25 + 3.14 + 35.78 = 44.17
\]
Step 3: Final Amount in the Account
Now, we subtract the total cost of the purchases from the new balance:
\[
\text{Final Amount} = 30 - 44.17 = -14.17
\]
Final Answer
Thus, the amount of money Tony has in his account after these transactions is:
\[
\boxed{-14.17}
\]