Final answer:
The price of each package of nail polish, before tax, is calculated by dividing the total cost ($300) by the number of packages (6), which results in $50 per package.
Step-by-step explanation:
The question involves a basic division calculation to determine the price of each package of nail polish before tax. The owner of a hair and nail salon purchased 6 identical packages for a total of $300. To find the price per package, we divide the total cost by the number of packages.
Total cost of packages: $300
Number of packages: 6
Price per package = Total cost ÷ Number of packages
Price per package = $300 ÷ 6 = $50
Therefore, the price of each package is $50 before tax.