While grocery shopping, Hassan predicted his total amount due at the cash register would be $$ \$ 56 $$. His prediction was $$ 8 \% $$ higher than the actual total. What was the actual total amount due? Round your answer to the nearest cent. $$ \$ $$ Submit

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To determine the actual total amount due, let's break down the information:

1. **Given:**
   - Hassan's predicted amount: \$56
   - His prediction was 8% **higher** than the actual total.

2. **Let $$ x $$ be the actual total amount.**

3. **Set Up the Equation:**
   $$
   \text{Prediction} = x + 0.08x = 1.08x
   $$
   $$
   1.08x = 56
   $$

4. **Solve for $$ x $$:**
   $$
   x = \frac{56}{1.08} = \frac{5600}{108} \approx 51.85185
   $$

5. **Round to the Nearest Cent:**
   $$
   x \approx \$51.85
   $$

**So, the actual total amount due is \$51.85.**

$$\boxed{51.85}$$
The actual total amount due is \$51.85.

While grocery shopping, Hassan predicted his total amount due at the cash register would be \( \$ 56 \). His prediction was \( 8 \% \) higher than the actual total. What was the actual total amount due? Round your answer to the nearest cent. \( \$ \) Submit

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