Questions: At the end of June, Mrs. Mitchell pays 98.00 towards a balance of 92.16 on her credit account. In July, she makes additional charges of 108.47. How much should she pay to have a balance of zero on her account? a) 114.31 b) 102.62 c) 98.00 d) 92.00

At the end of June, Mrs. Mitchell pays 98.00 towards a balance of 92.16 on her credit account. In July, she makes additional charges of 108.47. How much should she pay to have a balance of zero on her account? a) 114.31 b) 102.62 c) 98.00 d) 92.00
Transcript text: At the end of June, Mrs. Mitchell pays $\$ 98.00$ towards a balance of $\$ 92.16$ on her credit account. In July, she makes additional charges of $\$ 108.47$. How much should she pay to have a balance of zero on her account? a) $\$ 114.31$ b) $\$ 102.62$ c) $\$ 98.00$ d) $\$ 92.00$
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Solution

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Solution Steps

To find out how much Mrs. Mitchell should pay to have a balance of zero on her account, we need to:

  1. Calculate the new balance after her payment in June.
  2. Add the charges made in July to this new balance.
  3. Determine the amount needed to bring this final balance to zero.
Step 1: Calculate the New Balance After June Payment

Mrs. Mitchell's initial balance is \( \$92.16 \). She makes a payment of \( \$98.00 \) in June. The new balance after this payment is: \[ \text{New Balance} = 92.16 - 98.00 = -5.84 \]

Step 2: Add Charges Made in July

In July, Mrs. Mitchell makes additional charges of \( \$108.47 \). Adding these charges to the new balance: \[ \text{Final Balance} = -5.84 + 108.47 = 102.63 \]

Step 3: Determine the Amount Needed to Bring Balance to Zero

To have a balance of zero, Mrs. Mitchell needs to pay the final balance: \[ \text{Amount to Pay} = 102.63 \]

Final Answer

The answer is \( \boxed{\$102.63} \).

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