Katya collects badges from the National Parks Junior Rangers program. She wants to know how many cases she needs to display her collection. She can fit 8 badges in one case. There are 207 National Parks that participate in the Junior Ranger badge program. She does not have the badges for 165 parks.

Which equation should she use first to solve this problem?

Katya should first use the equation:

number of badges needed = (total number of participating parks - number of parks with badges already collected) x 8

This will give her the total number of badges she still needs to collect, and then she can divide that by 8 to find the number of cases she needs.