At the start of the week, Crystal's bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42 and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal's balance at the end of the week?
Evaluate the expression below to solve the problem.
$280+5(-5)+(-42)+2(75)+(-200)$
Answer (1)
Starts with an initial balance of $280 .
Calculates total parking expenses: 5 × − $5 = − $25 .
Calculates total deposits: 2 × $75 = $150 .
Computes the final balance: $280 − $25 − $42 + $150 − $200 = $163 . The final balance is 163 .
Explanation
Initial Analysis Let's break down Crystal's financial transactions step by step to determine her final bank balance. We'll start with her initial balance and then account for all her expenses and deposits throughout the week.
Initial Balance First, Crystal started with an initial balance of $280 .
Calculate Parking Expenses Next, we calculate her total parking expenses for the week. She paid $5 each day from Monday to Friday, which is 5 days in total. So, her total parking cost is 5 × − $5 = − $25 .
Account for the Check She also wrote a check for $42 , which reduces her balance by $42 .
Calculate Total Deposits Crystal made two deposits of $75 each. The total amount from these deposits is 2 × $75 = $150 .
Account for ATM Withdrawal Additionally, she withdrew $200 from an ATM, which decreases her balance by $200 .
Calculate Final Balance Now, let's combine all these transactions to find her final balance. We start with the initial balance, subtract the parking expenses and the check amount, and add the total deposits, and subtract the ATM withdrawal: $280 + ( 5 × − $5 ) + ( − $42 ) + ( 2 × $75 ) + ( − $200 ) $280 − $25 − $42 + $150 − $200 = $163
State the Final Answer Therefore, Crystal's balance at the end of the week is $163 .
Examples
Understanding how to manage a bank account and track expenses is a fundamental life skill. For example, if you're saving up for a new bicycle that costs $300 , and you earn $25 each week from allowance and $15 from chores, you can calculate how many weeks it will take to save enough money. By tracking your income and expenses, you can ensure you reach your savings goal efficiently. This involves adding your weekly income ( $25 + $15 = $40 ) and dividing the bicycle cost by your weekly savings ( $300/$40 = 7.5 weeks). Therefore, it will take you approximately 8 weeks to save enough money for the bicycle.
