Questions: At a sale, a table is being sold for 73% of the regular price. The sale price is 219. What is the regular price?
Transcript text: At a sale, a table is being sold for $73 \%$ of the regular price. The sale price is $\$ 219$. What is the regular price?
Solution
Solution Steps
To find the regular price of the table, we can set up an equation where the sale price is 73% of the regular price. By dividing the sale price by 0.73, we can solve for the regular price.
Step 1: Set Up the Equation
We know that the sale price is 73% of the regular price. We can express this relationship mathematically as:
\[
\text{Sale Price} = 0.73 \times \text{Regular Price}
\]
Given that the sale price is \( \$219 \), we can substitute this value into the equation:
\[
219 = 0.73 \times \text{Regular Price}
\]
Step 2: Solve for Regular Price
To find the regular price, we rearrange the equation:
\[
\text{Regular Price} = \frac{219}{0.73}
\]
Calculating this gives us:
\[
\text{Regular Price} = 300.0
\]
Final Answer
The regular price of the table is \\(\boxed{300.0}\\).