Question

On Wednesday, the balance in Diego's checking account was $204.30. On Thursday, Diego made a deposit of $87.21 and a withdrawal of $50.99. On Friday, Diego moved
1
4
of the money in his checking account to his savings account. How much money is in Diego's checking account at the end of the day Friday?

A.
$60.13

B.
$126.06

C.
$180.39

D.
$240.27

Answer 1

To find out how much money is in Diego's checking account at the end of the day on Friday, we need to follow these steps:

1. Begin with the initial balance on Wednesday.
2. Calculate the new balance after Thursday's transactions (deposit and withdrawal).
3. Move 1/4 of the money from the checking account to the savings account on Friday.
4. Find the remaining balance in the checking account.

### Step 1: Initial Balance
- Wednesday balance: $204.30

### Step 2: Transactions on Thursday
- Deposit: $87.21
- Withdrawal: $50.99

Calculate the Thursday balance:
\[
\text{Thursday Balance} = \text{Wednesday Balance} + \text{Deposit} - \text{Withdrawal}
\]
\[
\text{Thursday Balance} = 204.30 + 87.21 - 50.99
\]
Now calculate:
\[
204.30 + 87.21 = 291.51
\]
\[
291.51 - 50.99 = 240.52
\]
So, the Thursday balance is $240.52.

### Step 3: Move 1/4 to Savings Account on Friday
- Move 1/4 of the checking account balance to savings:
\[
\text{Amount moved} = \frac{1}{4} \times 240.52 = 60.13
\]

### Step 4: Calculate the Remaining Balance in Checking Account
\[
\text{New Checking Account Balance} = \text{Thursday Balance} - \text{Amount moved}
\]
\[
\text{New Checking Account Balance} = 240.52 - 60.13 = 180.39
\]

### Final Answer
Thus, the amount of money in Diego's checking account at the end of the day Friday is:

**C. $180.39**