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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

1 answer

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