19. Maria paid $$ \$ 24.65 $$ for her meal at a restaurant. If that price included a tax of 8.25 percent, what was the price of the meal before tax? (A) $$ \$ 22.61 $$ (B) $$ \$ 22.68 $$ (C) $$ \$ 22.77 $$ (D) $$ \$ 22.82 $$ (E) $$ \$ 22.93 $$

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UpStudy AI · Accepted Answer

To determine the pre-tax price of Maria's meal, we'll reverse the tax calculation.

1. **Understand the Relationship:**
   - Let $$ P $$ be the pre-tax price.
   - The total cost including tax is given by:
     $$
     \text{Total} = P + (0.0825 \times P) = P \times 1.0825
     $$
   - We know the total cost is \$24.65, so:
     $$
     P \times 1.0825 = 24.65
     $$
   
2. **Solve for $$ P $$:**
   $$
   P = \frac{24.65}{1.0825}
   $$
   
3. **Calculate the Value:**
   $$
   P = \frac{24.65}{1.0825} \approx 22.77
   $$
   
4. **Choose the Closest Option:**
   - The closest value to \$22.77 is **Option (C) \$22.77**.

**Answer:**  
**Option (C) $$ \$ 22.77 $$**
The pre-tax price of Maria's meal was \$22.77.

Maria paid for her meal at a restaurant.
If that price included a tax of 8.25 percent,
what was the price of the meal before tax?
(A)
(B)
©
(D)
(E)

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Maria paid for her meal at a restaurant. If that price included a tax of 8.25 percent, what was the price of the meal before tax? (A) (B) © (D) (E)