For a sale, a store owner reduces the price of a $\$10$ scarf by $30\%$. Later the price is lowered again, this time by $50\%$ of the reduced price. What is the current price, in dollars?
The sale price is $70\%$ of the original price, or $\$7.00$. After the next reduction, the final price is one-half the sale price of $\$7.00$. or $\boxed{\$3.50}$.
3.50
Level 3
Prealgebra
Problem: For a sale, a store owner reduces the price of a $\$10$ scarf by $30\%$. Later the price is lowered again, this time by $50\%$ of the reduced price. What is the current price, in dollars?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the final price of the scarf after two successive discounts, we first need to calculate the price after the initial discount of 30%. 

1. Calculate the amount of the first discount:
   - The original price of the scarf is $10.
   - The first discount is 30% of $10.
   - 30% of $10 is calculated as: 
     0.30 * 10 = $3.

2. Subtract the first discount from the original price:
   - New price after the first discount is:
     $10 - $3 = $7.

Next, we apply the second discount of 50% to the reduced price of $7.

3. Calculate the amount of the second discount:
   - The second discount is 50% of $7.
   - 50% of $7 is calculated as:
     0.50 * 7 = $3.50.

4. Subtract the second discount from the price after the first discount:
   - Final price after the second discount is:
     $7 - $3.50 = $3.50.

Thus, the current price of the scarf after both discounts is $3.50.<|END_OF_LATENT|> The final answer is $3.50$.