Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Part A

Let's break down each of Rylee's transactions step by step to find the net change to her banking account balance.

### Part A: Breaking Down the Transactions

1. **Clothing Purchase:**
   - The original cost was $36.50, and an 8% sales tax applies.
   - The tax amount is calculated as:
   \[
   \text{Tax} = 36.50 \times \frac{8}{100} = 36.50 \times 0.08 = 2.92
   \]
   - So, the total for the clothing purchase is:
   \[
   \text{Total clothing cost} = 36.50 + 2.92 = 39.42
   \]

2. **Fuel Purchase:**
   - The cost of fuel is $25 (no tax mentioned), so the total cost for this is simply $25.

3. **Groceries Purchase:**
   - The original grocery cost is $23.50, and she uses a coupon for a 20% discount.
   - The discount is calculated as:
   \[
   \text{Discount} = 23.50 \times \frac{20}{100} = 23.50 \times 0.20 = 4.70
   \]
   - So, the total grocery cost after the discount is:
   \[
   \text{Total grocery cost} = 23.50 - 4.70 = 18.80
   \]

### Total Spending:
- Add the amounts from all transactions to find the total amount Rylee spent:
\[
\text{Total spending} = 39.42 + 25 + 18.80 = 83.22
\]

Thus, the total net change to Rylee's banking account balance is **$83.22** (spent).

Would you like more details on any part of the solution? Here are some follow-up questions you can consider:

1. How would the net balance change if the tax rate was different?
2. What would happen if the coupon was for a different percentage?
3. Can you calculate how much more she would pay without the discount?
4. What if she had used another coupon on the clothing purchase?
5. How much tax did she save by using the grocery coupon?

**Tip:** When shopping with discounts and taxes, always apply the discount first, then calculate any taxes on the remaining amount.

Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase. Complete the following steps to help Rylee find the net change to her banking account balance.

Learn how to calculate the net change to Rylee's bank balance by applying an 8% sales tax to her clothing purchase, calculating fuel costs, and applying a 20% discount on groceries. This problem covers key arithmetic concepts like sales tax, percentage discount, and total expenditure. Suitable for Grades 6-8 students.

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